Amber S.

asked • 08/26/12

what are all the common multiples of 12 and 15

well i am doing a project and need the common multiples of 15 and 12 within the next 10 min. thank you

Exquisite W.

Answer: LCM is the method to find the smallest possible multiple of two or more numbers. LCM stands for Least common multiple. LCM of two numbers is divisible by both the numbers. Method to find least common multiple (LCM) We can find the LCM by two ways By listing the multiples By prime factorisation LCM of 12 and 15 We can find the LCM of 12 and 15 by both the above-mentioned methods. First Method: Listing the multiples First write the common multiples of all the three numbers. Common Multiples of 12: 12,24,36,48,60,72,…. Common Multiples of 15: 15, 30, 45, 60, 75,… Hence, the Least common multiple of 12 and 15 is 60. Second method: By Prime factorisation Let us write the prime factors of the two numbers individually. 12 = 2 x 2 x 3 15 = 3 x 5 Multiply each factor the maximum number of times it occurs in either number = 2 X 2 X 3 X 5 LCM (12 and 15) = 60 Answer


Exquisite W.

LCM of 12 and 15= 60


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