LCM & HCF Worksheet for Class 4 & 5

 


LCM & HCF WORKSHEET

Class 4 & 5 - Total 50 Questions




✅ Section A: Find the HCF (Highest Common Factor)

(Q1 to Q15)

  1. Find the HCF of 12 and 16

  2. Find the HCF of 18 and 24

  3. Find the HCF of 21 and 28

  4. Find the HCF of 36 and 60

  5. Find the HCF of 45 and 75

  6. Find the HCF of 9 and 27

  7. Find the HCF of 14 and 35

  8. Find the HCF of 8, 12, and 16

  9. Find the HCF of 30 and 50

  10. Find the HCF of 100 and 80

  11. Find the HCF of 25, 50, and 75

  12. Find the HCF of 63 and 90

  13. Find the HCF of 81 and 108

  14. Find the HCF of 40 and 60

  15. Find the HCF of 18 and 42

✅ Section B: Find the LCM (Lowest Common Multiple)

(Q16 to Q30)

  1. Find the LCM of 4 and 6

  2. Find the LCM of 5 and 10

  3. Find the LCM of 3 and 7

  4. Find the LCM of 9 and 12

  5. Find the LCM of 8 and 14

  6. Find the LCM of 15 and 20

  7. Find the LCM of 6, 8, and 12

  8. Find the LCM of 10 and 25

  9. Find the LCM of 9 and 15

  10. Find the LCM of 16 and 20

  11. Find the LCM of 24 and 36

  12. Find the LCM of 5, 15, and 30

  13. Find the LCM of 40 and 50

  14. Find the LCM of 21 and 35

  15. Find the LCM of 7 and 9

✅ Section C: Word Problems on HCF & LCM

(Q31 to Q40)

  1. Two ropes are 12 m and 18 m long. What is the greatest length of rope that can be cut from both without leaving any remainder?

  2. Find the smallest number that is divisible by both 6 and 8.

  3. Three bells ring at intervals of 4, 5, and 6 seconds. In how many seconds will they ring together again?

  4. A gardener wants to plant 36 rose plants and 60 marigold plants in rows. What is the greatest number of rows he can make if each row has equal number of plants of the same type?

  5. Two clocks ring together at 12 noon. One rings every 15 minutes and the other every 20 minutes. When will they next ring together?

  6. A student has 48 red pens and 60 blue pens. He wants to pack them in equal boxes without mixing colors. What is the maximum number of boxes he can use?

  7. Find the least number that is divisible by 4, 6, and 8.

  8. A shopkeeper has 30 pencils and 45 erasers. He wants to pack them in equal sets. What is the greatest number of such sets he can make?

  9. A man walks 18 km and another walks 24 km. After how many km will they meet again?

  10. Find the least number of tiles required to tile a floor 48 m long and 60 m wide, using the largest square tile.

✅ Section D: True or False

(Q41 to Q45)

  1. The HCF of two prime numbers is 1. — (True/False)

  2. The LCM of two numbers is always greater than both numbers. — (True/False)

  3. HCF of 18 and 36 is 9. — (True/False)

  4. The LCM of 7 and 14 is 14. — (True/False)

  5. The HCF of any number and 0 is the number itself. — (True/False)

✅ Section E: Fill in the Blanks

(Q46 to Q48)

  1. LCM of 5 and 15 = _______

  2. HCF of 16 and 24 = _______

  3. LCM of 9 and 10 = _______

✅ Section F: Match the Following

(Q49 & Q50)





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