Hard HCF and LCM questions

In this article I am going to provide you some hard questions of HCF and LCM . These all questions are really helpful for you preparetion.

1. If three numbers are 2a, 5a, and 7a then what will be their LCM?

2. Find the LCM of 8, 15,24 and 72?

3. Find the LCM of ( 2*2*2*3*5*5*7), ,(2*2*2*2*3*3*5*7*7*11) and ( 2*3*3*3*5*5*5*5)?

4. If the HCF of a and b 12, where a A and B are positive integers and a>b>12, then what will be the values of a and b?

5. Find the HCF of 144, 180and 192?

6. If the product of two coprime number is 117, then their LCM is?

7. In my store there are 345L mustard oil, 120L sunflower oil and 225 L soybean oil. what will be the capacity of the largest container to measure the above three types of oil?

8. If HCF of two number is 8 then which of the following can never be their LCM?

a) 24.  

b) 48

c) 56

d) 60

e) none of these

9. Find the LCM of 1/3,2/9,5/6 and 4/27?

10. Find the HCF of 1/2,3/4 and 4/5?

11. The LCM of two numbers is 2376 while their HCF is 33 if one of the numbers is 297 then the another number is?

12. The HCF and LCM of two numbers are are 13 and 1989 respectively if if one of the numbers is 117 then determine the another number?

13. The HCF of two expressions p and q is 1 what is the reciprocal of their LCM?

14. The HCF and the LCM of two natural numbers are 12 and 72 respectively what is the difference between the two numbers if one of the number is 24?

15. The ratio of two numbers is 3 ratio 4 and their HCF is 4 what will be their LCM?

If anyone needs some more questions so please write in Comment box . Thank you I hope these questions will helpful for you.