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astraxan [27]
2 years ago
5

Find the lcm of 300,400 and 500

Mathematics
2 answers:
Fofino [41]2 years ago
5 0
1. Decompose all numbers into prime factors

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

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

4. Calculate the Least Common Multiple or LCM

LCM=6000


hope this helps!!:))
ruslelena [56]2 years ago
3 0
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
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