Question

find the LCM of 70,150 and 175​

Answer 1

1. Decompose all numbers into prime factors

70 2 35 5 7 7 1 105 3 35 5 7 7 1 175 5 35 5 7 7 1

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

Prime factors of 70 = 2 . 5 . 7

Prime factors of 105 = 3 . 5 . 7

Prime factors of 175 = 52 . 7

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

Common prime factors: 5 , 7

Common prime factors with the greatest exponent: 52, 71

Uncommon prime factors: 2 , 3

Uncommon prime factors with the greatest exponent: 21, 31

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 = 52. 71. 21. 31 = 1050

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Answer 2

Answer:

Answer is 1050

Step-by-step explanation:

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