Top 100+ H.C.F and L.C.M Problems with Solutions Pdf - 1

Question: 1

The product of two numbers is 1320 and their HCF is 6. The LCM of the numbers is

(A) 220

(B) 1314

(D) 7920

View Answer

Ans: A

LCM = $$({Product of number} / {HCF} )$$= $${1320} / {6}$$ = 220.

Question: 2

The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28

(A) 9288

(B) 9828

(D) 9928

View Answer

Ans: B

The greatest 4 digit number is 9999

The LCM of 12, 18, 21, 28 is 252

On dividing 9999 by 252 the remainder comes out to be 171

∴ Required number = 9999 – 171 = 9828.

Question: 3

When Seeta made necklaces of either 16 beads, 20 beads or 36 beads, not a single bead was left over. What could be the least number of beads Seeta had?

(A) 700

(B) 710

(D) 740

View Answer

Ans: C

Required number of beads = L.C.M. of 16, 20, 36 = 720.

Question: 4

The least number should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is

(A) 3

(B) 13

(D) 33

View Answer

Ans: C

L.C.M. of 5, 6, 4 and 3 = 60.

On dividing 2497 by 60, the remainder is 37.

∴ Number to be added = (60 – 37) = 23.

Question: 5

Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be

(A) 7

(B) 14

(D) 28

View Answer

Ans: B

Number of books in each stack = H.C.F. of 336, 240 and 96 = 48.

Hence total number of stacks = $$({336 + 240 + 96} / 48)$$ = $${672} / {48}$$ = 14.

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Top 100+ H.C.F and L.C.M Problems with Solutions Pdf - 1

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