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

Problems on H.C.F and L.C.M
252 can be expressed as a product of primes as:

2 x 2 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 2 x 2 x 3 x 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, 252 = 2 x 2 x 3 x 3 x 7.

Problems on H.C.F and L.C.M
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

30
20
40
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 2x and 3x.Then, their L.C.M. = 6x.So, 6x = 48 or x = 8The numbers are 16 and 24.Hence, required sum = (16 + 24) = 40.

Problems on H.C.F and L.C.M
The product of two numbers is 2025 and their HCF is 15 their LCM is:

2040
150
135
2010

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

18002
18004
18000
17004

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
What will be the LCM of 8, 24, 36 and 54

345
216
444
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 8-24-36-54 will be2*2*2*3*3*3 = 216

Problems on H.C.F and L.C.M
What is the least number when divided by 4, 5, 6, 8 and 10 leaves 3 as remainder?

123
121
112
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 The least number which when divided by 4,5,6,8 and 10 is the LCM of these numbers. But each time  to get 3 as remainder, we have to add the remainder 3 to the obtained LCM.LCM of (4, 5, 6, 8, 10)+ 3=120+3=123

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

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