HCF And LCM Quiz Questions For Class 5

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Try out these HCF and LCM quiz questions created for class 5th students. When it comes to finding the least common multiple, there are some rules that you are expected to follow to reach the correct answer. Do you believe you understand the rules and can solve the questions below? How about you give it a shot and refresh your memory? We wish you good luck with this. Let us go now!

• 1.

The common factor between the numerator and denominator of  6/15  is  ______

• A.

3

• B.

2

• C.

5

• D.

4

A. 3
Explanation
The common factor between the numerator and denominator of 6/15 is 3. This is because both 6 and 15 can be divided evenly by 3.

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• 2.

The  H.C.F.   of  7,  11,  and  13  is  __________

• A.

7

• B.

77

• C.

1

• D.

101

C. 1
Explanation
The H.C.F. (Highest Common Factor) of 7, 11, and 13 is 1. This is because 1 is the only positive integer that divides all three numbers without leaving a remainder.

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• 3.

The  L.C.M.  of  4,  8,  and  16  is  _________

• A.

2

• B.

4

• C.

1

• D.

16

D. 16
Explanation
The L.C.M. (Least Common Multiple) is the smallest multiple that is divisible by all the given numbers. In this case, the L.C.M. of 4, 8, and 16 is 16 because it is the smallest number that is divisible by all three numbers without leaving a remainder. Therefore, the correct answer is 16.

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• 4.

The  smallest  among  all the  common  multiples  of  the  given  numbers  is  called  their  __________

• A.

H.C.F.

• B.

L.C.M.

• C.

Product

• D.

Multiple

B. L.C.M.
Explanation
The smallest among all the common multiples of the given numbers is called their L.C.M. This is because the L.C.M. (Least Common Multiple) is the smallest multiple that is divisible by all the given numbers.

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• 5.

The L.C.M of 5, 10, and 18 is

• A.

80

• B.

85

• C.

90

• D.

180

C. 90
Explanation
To find the least common multiple (LCM) of 5, 10, and 18, we need to determine the smallest number that is divisible by all three numbers. The prime factors of 5 are 5, the prime factors of 10 are 2 and 5, and the prime factors of 18 are 2 and 3. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. In this case, the LCM would be 2^1 * 3^1 * 5^1 = 2 * 3 * 5 = 30. Therefore, the given answer of 90 is incorrect.

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• 6.

The L.C.M of 3, 6, and 9 is

• A.

6

• B.

9

• C.

15

• D.

18

D. 18
Explanation
The LCM (Least Common Multiple) of 3, 6, and 9 can be found by listing the multiples of each number and finding the smallest number that appears in all three lists. The multiples of 3 are 3, 6, 9, 12, 15, 18, ... The multiples of 6 are 6, 12, 18, 24, 30, ... The multiples of 9 are 9, 18, 27, 36, ... The smallest number that appears in all three lists is 18, so the LCM of 3, 6, and 9 is 18.

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• 7.

All  the  given  numbers  are  divisible  by  their  ________

• A.

L.C.M.

• B.

!

• C.

H.C.F.

• D.

Product

C. H.C.F.
Explanation
The correct answer is H.C.F. (Highest Common Factor). The question suggests that all the given numbers are divisible by their H.C.F. This means that the highest factor that divides each of the given numbers without leaving a remainder is the H.C.F. Therefore, the H.C.F. is the correct answer.

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• 8.

The  L.C.M.  of  two  or  more  mutually  prime  numbers  is  given  by  their  ________

• A.

Product

• B.

1

• C.

H.C.F.

• D.

Biggest number

A. Product
Explanation
The L.C.M. (Least Common Multiple) of two or more mutually prime numbers is given by their product. This means that when two or more numbers are mutually prime, their L.C.M. will be equal to the product of those numbers.

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• 9.

The H.C.F of 8 and 12 is

• A.

4

• B.

6

• C.

8

• D.

12

A. 4
Explanation
The highest common factor (H.C.F) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the factors of 8 are 1, 2, 4, and 8, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The largest number that divides both 8 and 12 is 4, making it the H.C.F.

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• 10.

The  H.C.F.  of  two  or  more  mutually prime  numbers  is  _____

• A.

L.C.M.

• B.

10

• C.

Product

• D.

1

D. 1
Explanation
When two or more numbers are mutually prime, it means that they do not have any common factors other than 1. In such cases, the highest common factor (H.C.F.) of these numbers will always be 1. Therefore, the H.C.F. of mutually prime numbers is 1.

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