HCF and LCM Practice Question and Answer

Q:

The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively is:

750 0

  • 1
    61
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    57
    Correct
    Wrong
  • 4
    59
    Correct
    Wrong
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Answer : 3. "57"

Q:

The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, the other number is:

732 0

  • 1
    432
    Correct
    Wrong
  • 2
    144
    Correct
    Wrong
  • 3
    576
    Correct
    Wrong
  • 4
    1296
    Correct
    Wrong
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Answer : 1. "432 "

Q:

The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers.

713 0

  • 1
    10
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 3. "20"

Q:

LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, the other number is

707 0

  • 1
    297
    Correct
    Wrong
  • 2
    584
    Correct
    Wrong
  • 3
    189
    Correct
    Wrong
  • 4
    216
    Correct
    Wrong
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Answer : 1. "297"

Q:

What is the Highest Factor of $$ {2^{3}×{3^{5}}} and \ {2^{3}×{3^{5}}}$$ ?

685 0

  • 1
    $$ {2^{3}×{3^{5}×{5^{2}}}}$$
    Correct
    Wrong
  • 2
    $$ {3^{3}} $$
    Correct
    Wrong
  • 3
    $$ {2^{1}×{3^{3}×{5^{1}}}}$$
    Correct
    Wrong
  • 4
    $$ {{3^{5}×{5^{2}}}}$$
    Correct
    Wrong
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Answer : 2. "$$ {3^{3}} $$"

Q:

The L.C.M and H.C.F of the two numbers are 84 and 21 respectively. If the numbers have a ratio of 1: 4, what is the larger number?

679 0

  • 1
    56
    Correct
    Wrong
  • 2
    84
    Correct
    Wrong
  • 3
    82
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "84"

Q:

Find the LCM of x and (x+3).

655 0

  • 1
    x(x+3)
    Correct
    Wrong
  • 2
    x2(x+3)
    Correct
    Wrong
  • 3
    (x+3)
    Correct
    Wrong
  • 4
    x
    Correct
    Wrong
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Answer : 1. "x(x+3)"

Q:

What is the L.C.M of 12, 36, 6 and 9?

650 0

  • 1
    36
    Correct
    Wrong
  • 2
    144
    Correct
    Wrong
  • 3
    108
    Correct
    Wrong
  • 4
    62
    Correct
    Wrong
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Answer : 1. "36"

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