Question

What is the LCM of 36,56,105​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

2520

Step-by-step explanation:

#1 Write down all of the numbers as a product of their prime factors:

• Prime factorisation of 36:

2 * 2 * 3 * 3 = 22 * 32

• Prime factorisation of 56:

2 * 2 * 2 * 7 = 23 * 71

• Prime factorisation of 105:

3 * 5 * 7 = 31 * 51 * 71

#2 Find highest power of each prime number:

23 , 32 , 71 , 51

#3 Multiply these values together:

23 * 32 * 71 * 51 = 2520

Thus,

LCM(36,56,105) = 2520