Question

What is the LCM of 30,36,48

Answer 1

Answer:

720

Step-by-step explanation:

Decompose all numbers into prime factors

302153551 36218293331 48224212262331 602302153551

Write all numbers as the product of its prime factors

Prime factors of 30=2 . 3 . 5Prime factors of 36=22 . 32Prime factors of 48=24 . 3Prime factors of 60=22 . 3 . 5

Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 24, 32

Uncommon prime factors: 5

Uncommon prime factors with the greatest exponent: 51

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 = 24. 32. 51 = 720

Answer 2

Answer:

2×2×3×3×4×5=864

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