LCM Questions for Class 5

Learning about the Least Common Multiple (LCM) is an important step for Class 5 students to build a strong foundation in mathematics. LCM questions for Class 5 help students enhance their problem-solving skills and apply math in real-life situations. This worksheet includes a variety of problems designed specifically for fifth graders, from basic calculations to real-world applications.

I. Find the LCM of the following pairs of numbers:

a. 4 and 6

b. 5 and 15

c. 7 and 14

d. 8 and 12

e. 9 and 18

II. Calculate the LCM of the following sets of numbers:

a. 3, 6, and 9

b. 10, 20, and 25

c. 2, 4, and 8

d. 6, 12, and 18

e. 5, 10, and 15

III. Solve these word problems:

a. Two bells ring at intervals of 12 minutes and 18 minutes. If they ring together at 8:00 AM, when will they ring together again?

b. A delivery truck visits a store every 10 days, while another truck visits every 15 days. If both visit the store today, after how many days will they visit together again?

c. Three students participate in sports events every 4 days, 6 days, and 9 days, respectively. If all participate today, after how many days will they participate together again?

d. A clock chimes every 8 minutes, and another chimes every 12 minutes. If both chime at the same time at 2:00 PM, when will they chime together again?

e. Two buses leave a station at intervals of 15 minutes and 20 minutes. If they both leave at 10:00 AM, at what time will they leave together again?

IV. What is the LCM of 8 and 12?

a. 16

b. 24

c. 32

d. 40

V. If two numbers are 5 and 15, what is their LCM?

a. 15

b. 25

c. 5

d. 75

VI. The LCM of 3, 9, and 12 is:

a. 18

b. 27

c. 36

d. 45

VII. Find the smallest number that leaves a remainder of 3 when divided by 4, 6, and 9.

VIII. Three light bulbs blink at intervals of 5 seconds, 10 seconds, and 15 seconds. If they blink together at 12:00 PM, how many times will they blink together in the next minute?

IX. The product of the LCM and HCF of two numbers is 120. If one of the numbers is 12, find the other number.

X. Two runners start running at the same time around a circular track of 300 meters. One completes a lap in 75 seconds, and the other in 100 seconds. After how much time will they meet at the starting point again?

Answers

I — a. 12, b. 15, c. 14, d. 24, e. 18

II — a. 18, b. 100, c. 8, d. 36, e. 30

III — a. 36 minutes, b. 30 days, c. 36 days, d. 2:48 PM, e. 60 minutes

IV — b. 24

V — a. 15

VI — c. 36

VII — 75

VII — 4 times

IX — 10

X — 300 seconds (5 minutes)

This worksheet on LCM questions for Class 5 covers a range of problems to enhance both theoretical and practical understanding of LCM. With consistent practice, students will master this fundamental concept and apply it effectively in exams and real-life scenarios.