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

There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

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There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

A. 17
B. 29
C. 23
D. 31
Explanation:
(7429/12673) = 17/29 Fourth Number is 29

A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?

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A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?

A. 485
B. 431
C. 391
D. 381
Explanation:
HCF of 323, 437 = 19
323 * 437 = 19 * 19 * x
x = 391

A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

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A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

A. 50
B. 36
C. 24
D. 12
Explanation:
HCF of 408, 468, 516 = 12

A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

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A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

A. 51
B. 61
C. 47
D. 45
Explanation:
HCF of 435, 493, 551 = 29
(453/29) + (493/29) + (551/29) = 51