WORD PROBLEMS ON LCM AND HCF WORKSHEET

Problem 1 :

Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case.

Solution

Problem 2 :

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Solution

Problem 3 :

Determine the smallest 3 digit number which is exactly divisible by 6, 8 and 12.

Solution

Problem 4:

Determine the greatest 3 digit number exactly divisible by 8, 10 and 12.

Solution

Problem 5 :

The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m., at what time will they change simultaneously again?

Solution

Problem 6 :

Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertilizer exact number of times.

Solution

Problem 7 :

In a seminar, the number, the number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively. Find the minimum number of rooms required if in each room the same numbers of participants are to be seated and all of them being in the same subject.

Solution

Problem 8 :

144 cartons of Coke cans and 90 cartons of Pepsi cans are to be stacked in a canteen. If each stack is of the same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

Solution

Problem 9 :

A merchant has 120 liters of oil one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What would be the greatest capacity of such a tin?

Solution

Problem 10 :

Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.

Solution

Problem 11 :

Find the least number which when divided by 6, 15 and 18 leave remainder 5 in each case.

Solution

Problem 12 :

Find the smallest 4 digit number which is divisible by 18, 24 and 32.

Solution