Question

find the LCM of 66 and 486 by the Prime factorisation method. Hence find their HCF

Answer 1

LCM of 66 and 486 is 5346

The greatest common factor is 6

Solution:

LCM of 66 and 486

List all prime factors for each number.

Prime Factorization of 66 is:  2 x 3 x 11  

Prime Factorization of 486 is:  2 x 3 x 3 x 3 x 3 x 3  

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

2, 3, 3, 3, 3, 3, 11

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 3 x 3 x 3 x 3 x 11 = 5346

Thus LCM of 66 and 486 is 5346

Find HCF of 66 and 486

The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66

The factors of 486 are: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486  

Then the greatest common factor is 6

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