# HCF and LCM Quiz Set 003

### Question 1

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

A

8190.

B

16380.

C

4095.

D

24570.

Soln.
Ans: a

The required number is LCM = 8190.

### Question 2

The product of LCM and HCF of two numbers is 450? If one of the numbers is 10, what is the other?

A

45.

B

47.

C

46.

D

48.

Soln.
Ans: a

Product of two numbers is equal to the product of their LCM and HCF. So the other number is \$450/10\$ = 45.

### 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?

A

5632.

B

5634.

C

5633.

D

5635.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 712, and L = 88H. Solving these for H, we get H = \$712/{88 + 1}\$ = 8, and L = 704. The product of the two numbers is equal to the product of the lcm and hcf = 8 × 704 = 5632.

### Question 4

What is the HCF of \${7/15}\$, \$1{7/12}\$ and 3?

A

\${1/60}\$.

B

\${1/30}\$.

C

\${1/20}\$.

D

\${1/15}\$.

Soln.
Ans: a

The HCF of numerators 7, 19 and 3 is 1. The LCM of denominators 15, 12 and 1 is 60. So the required HCF of the given fractions is 1/60 = \${1/60}\$.

### Question 5

What is the LCM of 57, 24 and 81?

A

12312.

B

24624.

C

6156.

D

36936.

Soln.
Ans: a

The required LCM = 12312.