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Calculate the Least Common Multiple or LCM of 8, 22, 38 and 122

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The instructions to find the LCM of 8, 22, 38 and 122 are the next:

1. Decompose all numbers into prime factors

82
42
22
1
222
1111
1
382
1919
1
1222
6161
1

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

Prime factors of 8=23
Prime factors of 22=2 . 11
Prime factors of 38=2 . 19
Prime factors of 122=2 . 61

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 , 19 , 61

Uncommon prime factors with the greatest exponent: 111, 191, 611

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. 191. 611 = 101992


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