Question

The HCF of the two numbers is 6 and their LCM is 144. If one of the numbers is 36,find the other.
The product of two numbers is 2352. The HCF of the two numbers is 14. Find their LCM.
The product of two co-prime numbers is 156. find the LCM​

Answer 1

Answer:

1) Answer = 24

2) Answer =168

3) Answer = 156

Step-by-step explanation:

1)

HCF=6

LCM=144

a=36

b=?

HCF×LCM= a×b

6×144=36×b=864/36=24

2)

a×b = HCF ×LCM

LCM = a×b/HCF

= 2352 /14

=168

3)

Product of the two numbers.

HCF of two co - prime numbers is always 1

So, HCF = 1

LCM of two co - prime numbers = ?

HCF × LCM = Product of two numbers

1 × LCM = 156

LCM = 156 /1

∴ LCM = 156

Remember :- The product of two co - prime numbers is the LCM of that two co - prime numbers.

hope it helps you