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### Question 1

Which is the least number which must be added to 23933 so that it becomes divisible by 18, 95 and 84?

### Question 2

The sum of LCM and HCF of two numbers is 42. If LCM is 20 times the HCF, then the product of the two numbers is?

### Question 3

The sum of LCM and HCF of two numbers is 712. If LCM is 88 times the HCF, then the product of the two numbers is?

### Question 4

Find the least possible number that can be divided by 42, 30 as well as 117?

### Question 5

What is the HCF of (10 × 12), (12 × 16) and (16 × 10)?

**A**

8.

**B**

16.

**C**

4.

**D**

24.

**Soln.**

**Ans: a**

The required HCF is product of the three numbers divided by their LCM. The LCM of 10, 12 and 16 is 240. So the required HCF = ${10 × 12 × 16}/240$ = 8. *Please note that LCM(n1, n2, n3) × HCF(n1 × n2, n2 × n3, n3 × n1) = n1 × n2 × n3.*

This Blog Post/Article "HCF and LCM Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.