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Calculate the Least Common Multiple or LCM of 117, 220 and 222

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The instructions to find the LCM of 117, 220 and 222 are the next:

1. Decompose all numbers into prime factors

1173
393
1313
1
2202
1102
555
1111
1
2222
1113
3737
1

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

Prime factors of 117=32 . 13
Prime factors of 220=22 . 5 . 11
Prime factors of 222=2 . 3 . 37

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 3 , 13 , 2 , 5 , 11 , 37

Uncommon prime factors with the greatest exponent: 32, 131, 22, 51, 111, 371

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 = 32. 131. 22. 51. 111. 371 = 952380


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