Answered

Join the IDNLearn.com community and start exploring a world of knowledge today. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.

Maham has a number of apples. She could share my apples equally among 3, 4, or 5 people. What is the smallest number of apples Maham could have?

Sagot :

Answer:  60

The value 60 is the LCM of 3, 4 and 5.

==================================================

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

----------

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.

ILoveMathAndEnglishidn

Answer:

60

Step-by-step explanation:

60 / 3 = 15

60 / 4 = 20

60 / 5 = 12

They all divide evenly.

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.