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Least Common Multiple

Calculate the Least Common Multiple or LCM of 22, 40, 56 and 88

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The instructions to find the LCM of 22, 40, 56 and 88 are the next:

1. Decompose all numbers into prime factors

222
1111
1
402
202
102
55
1
562
282
142
77
1
882
442
222
1111
1

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

Prime factors of 22=2 . 11
Prime factors of 40=23 . 5
Prime factors of 56=23 . 7
Prime factors of 88=23 . 11

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

Common prime factors: 2

Common prime factors with the greatest exponent: 23

Uncommon prime factors: 11 , 5 , 7

Uncommon prime factors with the greatest exponent: 111, 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 = 23. 111. 51. 71 = 3080

Also calculates the:

Greatest Common Factor or GCF of 22, 40, 56 and 88

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