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Calculate the Least Common Multiple or LCM of 78400

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The instructions to find the LCM of 78400 are the next:

1. Decompose all numbers into prime factors

784002
392002
196002
98002
49002
24502
12255
2455
497
77
1

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

Prime factors of 78400=26 . 52 . 72

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

Common prime factors: 2 , 5 , 7

Common prime factors with the greatest exponent: 26, 52, 72

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

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 = 26. 52. 72 = 78400


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