LCM Questions Worksheet

on

Master the concept of Least Common Multiple (L.C.M.) with this uniquely designed worksheet. Practice these lcm questions to enhance your skills in finding LCM using various methods like listing multiples, prime factorization, and division. These questions are created to ensure clarity and uniqueness for effective learning.

If you are having problems solving any LCM or HCF questions, you can use this LCM Calculator and HCF Calculator. It will give you a step-by-step solution for every lcm and hcf question.

I. Find the LCM of the following by listing their multiples:

(a). 6, 9, 18

(b). 8, 12, 16

(c). 5, 15, 20

(d). 3, 6, 10

(e). 9, 12, 15

(f). 14, 28, 35

II. Find the first 3 common multiples of the following using a number line:

(a). 4 and 7

(b). 6 and 9

III. Find the L.C.M of the following by finding common prime factors:

(a). 18, 27, and 36

(b). 12, 30, and 45

(c). 9, 24, and 40

(d). 21 and 63

(e). 25 and 50

(f). 3, 15, and 45

IV. Find the LCM by prime factorization method:

(a). 10 and 25

(b). 42, 56, and 70

(c). 18 and 24

(d). 35, 45, and 60

(e). 8, 16, and 32

(f). 28, 42, and 84

V. Find the L.C.M. using the division method:

(a). 15 and 30

(b). 24, 36, and 48

(c). 18 and 54

(d). 45 and 75

(e). 16, 24, and 40

(f). 60, 90, and 120

(g). 50, 75, and 100

(h). 28, 42, and 63

(i). 36, 54, and 72

(j). 22, 33, and 66

(k). 48, 64, and 96

VI. Multiple Choice Questions (MCQ) on Prime Factorization:

Tick (✔) the correct option.

1. The LCM of 32 and 48 is:

(a) 64

(b) 96

(c) 128

(d) 48

2. If two numbers are 15 and 20, their LCM is:

(a) 20

(b) 30

(c) 60

(d) 40

VII. Use prime factorization to find the LCM:

  • 18, 36, and 54
  • 12, 20, and 30
  • 9, 15, and 25
  • 16 and 24
  • 6, 9, and 18
  • 14, 21, and 28

VIII. Find the LCM of the following numbers:

  • 7, 21
  • 10, 25
  • 12, 18
  • 11, 22
  • 6, 15, 20
  • 28, 42, and 56
  • 40, 60, and 80
  • 12, 30, and 45
  • 50, 75, and 125
  • 33, 44, and 88
  • 56, 72, and 96
  • 120, 180, and 240

IX. Solve the following:

  1. Find the smallest number which leaves a remainder of 3 when divided by 8 and 12.
  2. Find the least number which is divisible by 9, 15, and 20.
  3. Find the smallest number which is less by 6 to be divisible by 14, 21, and 35.
  4. Find the smallest number which is more by 5 to be divisible by 18, 24, and 36.
  5. The product of the LCM and HCF of two numbers is 180. If one of the numbers is 36, find the other.
  6. Find the least number which is exactly divisible by 25, 35, and 50.
  7. The product of two numbers is 300. If their HCF is 5, find their LCM.
  8. Find the least number which is less by 10 to be divisible by 40 and 60.
  9. The LCM of two numbers is 48, and their HCF is 8. If one of the numbers is 16, find the other.
  10. Find the smallest number which leaves a remainder of 7 when divided by 20, 30, and 40.
lcm question worksheet | lcm questions worksheet
LCM Questions

Answers to LCM Questions:

I. By Listing Multiples:

(a). 18

(b). 48

(c). 60

(d). 30

(e). 36

(f). 140

II. Using Number Line:

(a). 28, 56, 84

(b). 18, 36, 54

III. By Common Prime Factors:

(a). 108

(b). 90

(c). 360

(d). 63

(e). 50

(f). 45

IV. By Prime Factorization:

(a). 50

(b). 420

(c). 72

(d). 630

(e). 32

(f). 84

V. By Division Method:

(a). 30

(b). 144

(c). 54

(d). 225

(e). 240

(f). 360

(g). 300

(h). 252

(i). 216

(j). 66

(k). 192

VI. Multiple Choice Questions:

(b) 96

(c) 60

Continue practicing these LCM question worksheet to boost your understanding and problem-solving accuracy.

Comments

Post a Comment