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Problems on H.C.F and L.C.M

Problems on H.C.F and L.C.M
Find the HCF of 54, 288, 360

16
18
19
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Lets solve this question by factorization method.18=2×3²,288=2×2×2×2×2×3²,360=2³×3²×5So HCF will be minimum term present in all three, i.e.2×3²=18

Problems on H.C.F and L.C.M
The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is

35 cm
25 cm
42 cm
15 cm

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is:

360
540
180
1260

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

10568
10368
10268
10468

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Smallest number of five digits is 10000.       Required number must be divisible by L.C.M. of 16,24,36,54 i.e 432,       On dividing 10000 by 432,we get 64 as remainder.    Required number = 10000 +( 432 – 64 ) = 10368.

Problems on H.C.F and L.C.M
The least number of five digits which is exactly divisible by 12,15 and 18 is :

10010
10080
10020
10015

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 NA

Problems on H.C.F and L.C.M
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

36
18
24
48

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.So, the numbers 12 and 16.L.C.M. of 12 and 16 = 48.

MORE MCQ ON Problems on H.C.F and L.C.M

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