1. Decompose all numbers into prime factors 300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1 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
