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Calculate the Least Common Multiple or LCM of 36, 60, 84 and 90

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The instructions to find the LCM of 36, 60, 84 and 90 are the next:

1. Decompose all numbers into prime factors

362
182
93
33
1
602
302
153
55
1
842
422
213
77
1
902
453
153
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 36=22 . 32
Prime factors of 60=22 . 3 . 5
Prime factors of 84=22 . 3 . 7
Prime factors of 90=2 . 32 . 5

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 22, 32

Uncommon prime factors: 5 , 7

Uncommon prime factors with the greatest exponent: 51, 71

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 22. 32. 51. 71 = 1260


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