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Arrow-Puffin-4_Semester-1 Maths 167LEAST COMMON MULTIPLE (BY LISTING MULTIPLES)The least common multiple (LCM) of two or more numbers is the smallest number which is divisible by each of the given numbers.Consider two numbers 4 and 6.The multiples of 4 : 4 8 12 16 20 24 28 32 36 40The multiples of 6 : 6 12 18 24 30 36 42 48 54 60The common multiples of 4 and 6 are 12, 24, 36 %u2026%u2026%u2026The least common multiple of 4 and 6 is 12.12 is the smallest number which is divisible by both 4 and 6 without leaving a remainder.COMMON MULTIPLESConsider the multiples of 5 and 10.Multiples of 5 : 5, 10 , 15, 20 , 25, 30 , 35, 40Multiples of 10 : 10 , 20 , 30 , 40 , 50, 60, 70, 80We observe that 10, 20, 30, 40 are multiples of both 5 and 10.Multiples that are common to two numbers are called common multiples.Therefore, 10, 20, 30, 40 are the common multiples of 5 and 10.Example 1 : Write the common multiples of 3 and 6.Multiples of 3 : 3 6 9 12 15 18 21 24 27 30Multiples of 6 : 6 12 18 24 30 36 42 48 54 60Common multiples of 3 and 6 are 6, 12, 18, 24, 30.Example 2 : Write the common multiples of 7 and 9.Multiples of 7 : 7 14 21 28 35 42 49 56 63 70Multiples of 9 : 9 18 27 36 45 54 63 72 81 90Common multiple of 7 and 9 is 63.Let's Understand Conceptual UnderstandingLet's Understand Conceptual Understanding