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Grade 5 - Mathematics
1.18 Prime Factorization Word Problems

  1. Read the questions carefully.
  2. Compute the results as per the question.
Example 1: What is the least number that is divisible by 5, 6 and 15?
Find the LCM of 5, 7 and 9
Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Multiples of 6 are 6, 12, 16, 24, 30
Multiples of 15 are 15, 30, 45, 60
Least Common Multiple (LCM) = 30
Answer: 30

Example 2:
Jill purchased some apples to distribute to her friends. If she gave 4 or 5 or 6 apples to each of her friends she will be left with 100 apples. What is the least number of apples she purchased?
Solution:
The L.C.M of 4,5,6 = 60
100 + 60 = 160
The least number of apples she purchased is 160.
Solution: 160 apples.
Directions: Solve the following questions. Also write at least five examples of your own.
Q 1: Some toys are 15 dollars each, some are 45 dollars each, and some are 60 dollars each. Find the least sum of money with which we can buy an exact number of toys of each kind?
180
120
160

 Q 2: Three clocks ring once at the same time. After that, the first clock rings after every 3 hours, the second after every 4 hours, and third after every 5 hours. After how many hours will they again ring together?
70 hours
60 hours
Never

Q 3: Some dolls are $30 each, some are $120 and some are $40 each. Find the least sum of money with which we can buy an exact number of dolls of each kind?
1200
120
180

 Q 4: What is the smallest number of students required so that they may be uniformly arranged in rows of 12, 16 or 20? (Hint: find the LCM of the numbers)
220
245
240

Q 5: Find the smallest number that is divisible by all even numbers between 5 and 15.
840
680
850

 Q 6: Alana purchased some apples to distribute to her friends. If she gave 7 or 8 or 10 apples to each of her friends she will be left with 100 apples. What is the least number of apples she purchased?
56
1000
380

Q 7: Some boxes of chocolates are 20 dollars each, some ar 40 dollars and some are 60 dollars each. Find the least sum of money with which we can buy an exact number of chocolates of each kind?
160
100
120

 Q 8: Three clocks ring once at the same time. After that, the first clock rings after every 90 minutes, the second after every 30 minutes, and third after every 60 minutes. After how many minutes will they again ring together?
60
80
180

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 Question 10: This question is available to subscribers only!


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