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Calculate the Least Common Multiple or LCM of 22, 43, 49 and 94

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The instructions to find the LCM of 22, 43, 49 and 94 are the next:

1. Decompose all numbers into prime factors

222
1111
1
4343
1
497
77
1
942
4747
1

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

Prime factors of 22=2 . 11
Prime factors of 43=43
Prime factors of 49=72
Prime factors of 94=2 . 47

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: 2 , 11 , 43 , 7 , 47

Uncommon prime factors with the greatest exponent: 21, 111, 431, 72, 471

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 = 21. 111. 431. 72. 471 = 2178638


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