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Calculate the Least Common Multiple or LCM of 33, 80 and 470

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The instructions to find the LCM of 33, 80 and 470 are the next:

1. Decompose all numbers into prime factors

333
1111
1
802
402
202
102
55
1
4702
2355
4747
1

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

Prime factors of 33=3 . 11
Prime factors of 80=24 . 5
Prime factors of 470=2 . 5 . 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: 3 , 11 , 2 , 5 , 47

Uncommon prime factors with the greatest exponent: 31, 111, 24, 51, 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 = 31. 111. 24. 51. 471 = 124080


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