Problems on LCM and HCF

LCM and HCF Practice Questions 

Model 1:

1. What will be the smallest number divisible by 6, 8, 18, 24 and 36?
1) 36     2)72     3)48     4) 144     5) None of these

2. Which is the least number divisible by 10, 18 and 25?
1) 350     2)450     3)320     4) 500     5) None of these

3. What is the LCM of 18 and 32?
1) 200     2) 240     3)120     4) 288     5) None of these

4. What is the largest number that can exactly divide 52, 65 and 143?
1) 11     2) 13     3) 14     4) 12     5) None of these

5. What is the greatest number that will exactly divide 75, 90 and 165?
1) 11     2) 15     3) 14     4) 12     5) None of these

6. What is HCF of 720 and 324?
1) 32     2)50     3) 9     4) 36     5) None of these

7. The LCM of three different numbers is 120. Which of the following can't be their HCF?
1) 8     2) 12     3) 24     4) 35     5) 40

8. The ratio of three numbers is 35: 55: 77 and their H. C. F is 24. What are the numbers?
1) 420,660,924     2) 280,440,616     3) 840,1320,1848     4) 105,165,231   5) None of these

Model 2

9. The LCM and HCF of two positive numbers are 300 and 30 respectively. If one of the numbers is divided by 4, the quotient is 15, then what is the other number?
1) 360     2) 300     3) 150     4) 75     5) None of these

10.The HCF of two numbers is 11 and their LCM is 7700. If one of these numbers is 275, then what is the other number?
1) 279     2) 283     3) 308     4) 318     5) 320

11.The H.C.F and L.C.M of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. What is the other number?
1) 123     2) 33     3) 66     4) 264     5) None of these

Answers:

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