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Calculate the Least Common Multiple or LCM of 11, 22, 33 and 56

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The instructions to find the LCM of 11, 22, 33 and 56 are the next:

1. Decompose all numbers into prime factors

1111
1
222
1111
1
333
1111
1
562
282
142
77
1

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

Prime factors of 11=11
Prime factors of 22=2 . 11
Prime factors of 33=3 . 11
Prime factors of 56=23 . 7

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: 11 , 2 , 3 , 7

Uncommon prime factors with the greatest exponent: 111, 23, 31, 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 = 111. 23. 31. 71 = 1848


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