Find the lcm of 300,400 and 500

1. Decompose all numbers into prime factors
30021502753255551 400220021002502255551 500225021255255551
2. Write all numbers as the product of its prime factors
Prime factors of 300=22 . 3 . 52
Prime factors of 400=24 . 52
Prime factors of 500=22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 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 = 24. 53. 31 = 6000

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