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