Practice test

Lcm and hcf - Test Set 1

Review 20 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

20 questions

Questions and explanations

  1. Question 1

    Find the LCM of 24, 96 and 36.
    1. 576
    2. 216
    3. 288
    4. 144
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  2. Question 2

    The LCM of 144, 180 and 384 is:
    1. 5760
    2. 3760
    3. 5560
    4. 1760
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  3. Question 3

    Three numbers are co-prime to each other, and the products of the first two and last two numbers are 432 and 945 respectively. Find the least common multiple of all three numbers.
    1. 14850
    2. 15120
    3. 16650
    4. 15030
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  4. Question 4

    What is the HCF of 144, 360 & 504?
    1. 24
    2. 18
    3. 36
    4. 72
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  5. Question 5

    Find the greatest common factor of 45, 78 and 117.
    1. 9
    2. 5
    3. 7
    4. 3
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  6. Question 6

    Find the largest number which can divide 126 and 189?
    1. 63
    2. 21
    3. 27
    4. 9
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  7. Question 7

    What is the difference between LCM and HCF of 24 and 18?
    1. 24
    2. 6
    3. 66
    4. 72
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  8. Question 8

    What is the highest common factor of a2b4c6, b3c8a4 and a8b6c2?
    1. a4b4c4
    2. a2b2c2
    3. a2b3c2
    4. a2b3c3
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  9. Question 9

    The least common multiple of two numbers is 588. Which of the following cannot be their greatest common multiple?
    1. 49
    2. 21
    3. 35
    4. 3
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  10. Question 10

    Find the LCM of 45,23 and 57
    1. 25
    2. 40
    3. 20
    4. 30
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  11. Question 11

    HCF of 125,216,94 and 183 is:
    1. 120
    2. 32
    3. 35
    4. 37
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  12. Question 12

    Two numbers are in the ratio of 15 : 11. If their HCF is 13. Find the numbers:
    1. 195, 143
    2. 196, 143
    3. 195, 141
    4. 195, 142
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  13. Question 13

    LCM and HCF of two numbers are 153 and 17 respectively. If one of the numbers is 17, find the other number.
    1. 153
    2. 34
    3. 17
    4. 51
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  14. Question 14

    HCF of two numbers (HCF) is 9 and their (LCM) is 252. The sum of the numbers is:
    1. 78
    2. 99
    3. 90
    4. 108
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  15. Question 15

    Two numbers are in the ratio 5 : 7. If their greatest common factor is 17, find the numbers.
    1. 85, 119
    2. 102, 136
    3. 68, 85
    4. 85, 102
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  16. Question 16

    Two numbers are in the ratio 3 : 2. Their least common multiple and Heighest common factor are 24 and 4 respectively. The larger of the two numbers is:
    1. 8
    2. 12
    3. 14
    4. 10
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  17. Question 17

    If the product of two numbers is 3360 and their LCM is 96, then their HCF is:
    1. 35
    2. 29
    3. 33
    4. 34
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  18. Question 18

    The product of two numbers is 1472 and their HCF is 8. Find their least common multiple.
    1. 144
    2. 108
    3. 184
    4. 176
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  19. Question 19

    The L.C.M. of two numbers is 252 and their H.C.F. is 14. If one of the numbers is 28, then by what percentage is the other number more than the first no?
    1. 340%
    2. 310%
    3. 330%
    4. 350%
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  20. Question 20

    The least common multiple of two numbers is 385, and their greatest common factor is 7. If the sum of both the numbers is 112, find their difference.
    1. 50
    2. 35
    3. 42
    4. 43
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