LCM & HCF WORKSHEET – CLASS 6

 

📘 LCM & HCF WORKSHEET – CLASS 6

Total Questions: 50




✅ Section A: Find the HCF (Q1 – Q12)

Use prime factorization or division method.

  1. Find the HCF of 24 and 36

  2. Find the HCF of 48 and 60

  3. Find the HCF of 96 and 144

  4. Find the HCF of 18, 30, and 42

  5. Find the HCF of 121 and 143

  6. Find the HCF of 64 and 80

  7. Find the HCF of 105 and 150

  8. Find the HCF of 88 and 132

  9. Find the HCF of 36 and 72

  10. Find the HCF of 14, 28, and 35

  11. Find the HCF of 81 and 135

  12. Find the HCF of 56 and 84

✅ Section B: Find the LCM (Q13 – Q24)

Use listing method or prime factorization.

  1. Find the LCM of 15 and 20

  2. Find the LCM of 24 and 32

  3. Find the LCM of 8, 12, and 16

  4. Find the LCM of 25 and 30

  5. Find the LCM of 14, 28, and 35

  6. Find the LCM of 6 and 10

  7. Find the LCM of 45 and 60

  8. Find the LCM of 18 and 27

  9. Find the LCM of 7, 9, and 12

  10. Find the LCM of 9 and 15

  11. Find the LCM of 16, 24, and 36

  12. Find the LCM of 50 and 75

✅ Section C: Real-Life Word Problems (LCM/HCF) (Q25 – Q36)

  1. Two pipes are opened to fill a tank. One fills every 12 minutes, the other every 18 minutes. When will both pipes fill the tank together next?

  2. A gardener has 96 marigold plants and 144 tulip plants. He wants to plant them in rows with the same number of each type in each row. What is the maximum number of rows he can make?

  3. A number when divided by 12 and 18 leaves no remainder. Find the least such number.

  4. There are 45 boys and 75 girls. They must be divided into equal teams without mixing. What is the greatest number of teams possible?

  5. Three traffic lights blink at intervals of 20, 25, and 30 seconds. After how many seconds will they blink together again?

  6. A fruit vendor has 36 apples and 60 oranges. He wants to make fruit baskets with equal number of each fruit. What is the maximum number of baskets he can make?

  7. Find the smallest number which is divisible by 5, 8, and 12.

  8. A hall is 60 m long and 84 m wide. What is the largest square tile that can be used to tile the floor without cutting any tile?

  9. A cyclist takes 20 minutes to cover one round of a park, another takes 30 minutes. When will they meet again at the starting point?

  10. A school has 80 students in Class A and 100 in Class B. The teacher wants to group them equally with no student left. Find the greatest number of students per group.

  11. Find the least number divisible by 8, 10, and 12

  12. A shopkeeper has 120 pens, 180 pencils, and 240 erasers. He wants to pack them in boxes with equal numbers. What is the greatest number of boxes?

✅ Section D: Fill in the Blanks (Q37 – Q42)

  1. LCM of 18 and 24 = _______

  2. HCF of 72 and 108 = _______

  3. LCM of 7 and 14 = _______

  4. HCF of 32 and 48 = _______

  5. HCF of two co-prime numbers is _______

  6. LCM of two consecutive numbers is _______ (Hint: product of the numbers)

✅ Section E: Multiple Choice Questions (MCQs) (Q43 – Q47)

  1. The LCM of 4 and 6 is:
    a) 8  b) 10  c) 12  d) 14

  2. The HCF of 16 and 36 is:
    a) 2  b) 4  c) 8  d) 16

  3. Which of the following numbers is divisible by both 4 and 6?
    a) 18  b) 24  c) 20  d) 36

  4. The HCF of 45 and 30 is:
    a) 5  b) 15  c) 10  d) 30

  5. The least number divisible by 5, 6, and 8 is:
    a) 120  b) 60  c) 30  d) 90

✅ Section F: True or False (Q48 – Q50)

  1. LCM of two numbers is always smaller than their product. — (True/False)

  2. HCF of a number and 0 is always 0. — (True/False)

  3. Two co-prime numbers always have LCM equal to their product. — (True/False)


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