Answer :
Answer: 60
The value 60 is the LCM of 3, 4 and 5.
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Explanation:
LCM = lowest common multiple
To find the LCM, we list out the prime factorization of each number
- 3 = 3*1
- 4 = 2*2
- 5 = 5*1
Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60
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If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples
If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.
Or if she had 5 friends, then each friend gets 60/5 = 12 apples.
For any of those three cases, there are no leftovers or remainders.
Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.
Answer:
60
Step-by-step explanation:
60 / 3 = 15
60 / 4 = 20
60 / 5 = 12
They all divide evenly.