<\/span><\/p>\n To find the LCM of two numbers using this method, we list the multiples of each given number until we find the first common multiple. This first common multiple will be the required answer. Let us see an example.<\/span><\/p>\n Example:<\/strong> Find LCM of 6 and 15 using the listing multiple method.\u00a0<\/span><\/p>\n Let us list the multiples of 6 and 15.<\/span><\/p>\n Multiples of 6 will be: 6, 12, 18, 24, <\/span>30<\/b>, 36 … etc.<\/span><\/p>\n Multiples of 15 will be: 15, <\/span>30<\/b>, 45, 60, 75, 90 … etc.<\/span><\/p>\n Here, the number 30 is the first common multiple of both 6 and 15.\u00a0<\/span><\/p>\n So, the LCM of 6, 15 is 30.<\/span><\/p>\n <\/span><\/p>\n Let us understand this by calculating the LCM of two numbers using this method.\u00a0<\/span><\/p>\n Example:<\/strong>\u00a0Find the LCM of two numbers, 25 and 45, using prime factorization.<\/span><\/p>\n First, we list the prime factors of both the given numbers.<\/span><\/p>\n 25 = 5 \u00d7 5<\/span><\/p>\n 45 = 3 \u00d7 3 \u00d7 5<\/span><\/p>\n List all the prime numbers found as they occur most times for any given number.\u00a0<\/span><\/p>\n The occurrence of prime numbers:<\/span><\/p>\n Now, multiply the list of prime factors together to find the required answer.<\/span><\/p>\n Multiplying all the prime numbers as each occurs most often, we find 3 \u00d7 3 \u00d7 5 \u00d7 5 = 225<\/span><\/p>\n So, the LCM of 25, 45 = 225<\/span><\/p>\n <\/span><\/p>\n It is the most common method to find the LCM of two numbers or even more. The steps we will use in this method are –\u00a0<\/span><\/p>\n First, <\/span>write down both the numbers in a row.\u00a0<\/span><\/p>\n Divide the row <\/span>with the smallest prime number that wholly divides at least one of the numbers, and write the result into the next row.<\/span><\/p>\n If any number is not divisible by that prime number, write it down as it is in the next row. (You can see the third row in the below example where 9 was not divisible by 2, so we wrote 9 in the fourth row.)<\/span><\/p>\n Keep dividing as explained earlier, and when the last row is 1\u2019s, we should stop.<\/span><\/p>\n Example:<\/strong> Let\u2019s find the LCM of 24 and 36 using the division method.<\/span><\/p>\n <\/span><\/p>\n Multiply<\/span> the prime numbers in the first column.<\/span><\/p>\n So the required LCM will be 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 = 72.<\/span><\/p>\n <\/span><\/p>\n \u00a0We use this method only if the greatest common factor (GCF) of two numbers is given. The formula used to find the LCM of two numbers by this method is:<\/span><\/p>\n L.C.M. = a \u00d7 b\/ GCF(a,b)<\/span><\/p>\n For example, for 10 and 24, the GCF will be 2. So, the LCM = (10 \u00d7 24) \/ 2 = 240\/2 = 120.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n 1. What is the LCM (Least Common Multiple) of 18 and 24 by division method?<\/strong><\/p>\n Solution: <\/strong><\/p>\n For 18 and 24, the LCM = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 = 72.<\/span><\/p>\n <\/p>\n 2. What is the LCM of 18 and 21? Use prime factorization.<\/strong><\/p>\n Solution:<\/strong> Writing down the prime factors of each number,<\/span><\/p>\n 18 = 2 \u00d7 3 \u00d7 3<\/span><\/p>\n 21 = 3 \u00d7 7<\/span><\/p>\n The occurrence of Numbers:<\/span><\/p>\n 2: one time<\/span><\/p>\n 3: two times<\/span><\/p>\n 7: one time<\/span><\/p>\n So, the LCM of 18, 21 = 2 \u00d7 3 \u00d7 3 \u00d7 7 = 126.<\/span><\/p>\n <\/p>\n 3. What is the LCM of 8, 12 using the listing method?<\/strong><\/p>\n Solution:<\/strong> Listing the multiples –\u00a0<\/span><\/p>\n Multiples of 8 will be: 8, 16, <\/span>24<\/b>, 32, 40, 48, 56, \u2026.<\/span><\/p>\n Multiples of 12 will be: 12, <\/span>24<\/b>, 36, 48, 60, \u2026.<\/span><\/p>\n Here, the number 24 is the first common multiple of both 8 and 12. So, the LCM of 8, 12 is 24.<\/span><\/p>\n [\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics [\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_text admin_label=”Related Concepts [\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n1. Finding LCM by Listing Multiples Method<\/b><\/h3>\n
2. Finding LCM using Prime Factorization Method<\/b><\/h3>\n
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3. Finding LCM using Division Method<\/b><\/h3>\n
![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/how-to-find-lcm-of-two-numbers-01.png\")
<\/span><\/p>\n4. Finding LCM Using GCF Method<\/b>\u00a0<\/span><\/h3>\n
Examples<\/b>\u00a0<\/span><\/h2>\n
![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/how-to-find-lcm-of-two-numbers-02.png\")
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\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nExplore Other Topics<\/h1>\n
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nRelated Concepts<\/h1>\n