LCM and HCF of Numbers

Practice finding the Least Common Multiple (LCM) and Highest Common Factor (HCF) of numbers, including algebraic expressions.

25 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

What is the LCM of 18 and 7?

  1. 18
  2. 112
  3. 126
  4. 128
Question 2 Multiple Choice (Single Answer)

What is the HCF of 24 and 16?

  1. 8
  2. 16
  3. 24
  4. 32
Question 3 Multiple Choice (Single Answer)

What is the LCM of 1 and 2?

  1. 1
  2. 2
  3. 4
  4. 6
Question 4 Multiple Choice (Single Answer)

What is the HCF of 56 and 40?

  1. 6
  2. 8
  3. 10
  4. 19
Question 5 Multiple Choice (Single Answer)

What is the highest common factor of 16 and 32?

  1. 2
  2. 3
  3. 4
  4. 16
Question 6 Multiple Choice (Single Answer)

Which of the following is the highest common factor of 21 and 56?

  1. 1
  2. 3
  3. 7
  4. 9
Question 7 Multiple Choice (Single Answer)

What is the highest common factor of 39 and 65?

  1. 9
  2. 12
  3. 13
  4. 16
Question 8 Multiple Choice (Single Answer)

What is the highest common factor of 15 and 25?

  1. 0
  2. 5
  3. 15
  4. 25
Question 9 Multiple Choice (Single Answer)

Which of the following is the highest common factor of 27 and 9?

  1. 3
  2. 6
  3. 9
  4. 18
Question 10 Multiple Choice (Single Answer)

What is the highest common factor of 14 and 70?

  1. 14
  2. 16
  3. 18
  4. 20
Question 11 Multiple Choice (Single Answer)

Which of the following is the highest common factor of 51 and 18?

  1. 2
  2. 3
  3. 7
  4. 9
Question 12 Multiple Choice (Single Answer)

What is the HCF of 1470 and 220?

  1. 8
  2. 9
  3. 10
  4. 11
Question 13 Multiple Choice (Single Answer)

Which of the following is the HCF of 594 and 1265?

  1. 9
  2. 11
  3. 13
  4. 15
Question 14 Multiple Choice (Single Answer)

Which of the following sets of numbers will have the highest common factor equal to 16?

  1. 48, 96, 145
  2. 24, 40, 64
  3. 50, 560, 140
  4. 48, 80, 112
Question 15 Multiple Choice (Single Answer)

Which of the following sets of the numbers has the highest common factor equal to 18?

  1. 38, 58, 124
  2. 36, 54, 126
  3. 28, 54, 126
  4. 36, 54, 128
Question 16 Multiple Choice (Single Answer)

Which of the following is the highest common factor of 2346 and 6435?

  1. 2
  2. 3
  3. 5
  4. 9
Question 17 Multiple Choice (Single Answer)

Which of the following is the highest common factor of 2527 and 18228?

  1. 7
  2. 9
  3. 18
  4. 27
Question 18 Multiple Choice (Single Answer)

Which of the following sets of the number has 72 as LCM?

  1. 14, 12, 18
  2. 16, 12, 14
  3. 12, 18, 24
  4. 18, 24, 28
Question 19 Multiple Choice (Single Answer)

Find the LCM of (a + b)2 and (a + b).

  1. (a + b)
  2. (a + b)2
  3. (a + b)3
  4. (a - b)
Question 20 Multiple Choice (Single Answer)

What is the LCM of pq (p - q) and pqr(p - q)?

  1. (p - q)
  2. pqr
  3. pqr(p - q)
  4. pq(p - q)
Question 21 Multiple Choice (Single Answer)

Which of the following pairs of numbers will have 300 as LCM?

  1. 85 and 90
  2. 75 and 60
  3. 60 and 95
  4. 76 and 62
Question 22 Multiple Choice (Single Answer)

What is the LCM of x2 - z2 and x + z?

  1. (x + z) (x - z)
  2. (x + z)2
  3. (x - z)2
  4. (x - z)
Question 23 Multiple Choice (Single Answer)

Which of the following pairs of number will have 672 as LCM?

  1. 84 and 32
  2. 89 and 35
  3. 84 and 36
  4. 94 and 32
Question 24 Multiple Choice (Single Answer)

What is the least common multiple of p3 + q3 + 3p2q + 3pq2 and p2 - q2?

  1. (p + q)3
  2. (p + q)
  3. (p + q)3 (p - q)
  4. (p - q)3 (p + q)
Question 25 Multiple Choice (Single Answer)

Which of the following pairs of number will have 105 as LCM?

  1. 15 and 27
  2. 27 and 61
  3. 21 and 35
  4. 15 and 21

Practice this chapter

Number System (616 questions)