Question

find LCM of 120, 180 , 190 by prime factorization method​

Answer 1

Answer:

The instructions to find the LCM of 120, 180 and 190 are the next:

1. Decompose all numbers into prime factors

120 2 60 2 30 2 15 3 5 5 1 180 2 90 2 45 3 15 3 5 5 1 190 2 95 5 19 19 1

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

Prime factors of 120 = 23 . 3 . 5

Prime factors of 180 = 22 . 32 . 5

Prime factors of 190 = 2 . 5 . 19

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

Common prime factors: 2 , 5

Common prime factors with the greatest exponent: 23, 51

Uncommon prime factors: 3 , 19

Uncommon prime factors with the greatest exponent: 32, 191

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. 51. 32. 191 = 6840

Step-by-step explanation:

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Answer 2

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LCM of 120, 180 , 190 = 6840

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