The ratio of two numbers is 4 : 5 and their HCF is 6. Their LCM is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 120.
We know that,
L.C.M × H.C.F = a × b
Two numbers which are in the form of mx and my where m is H.C.F
So, the L.C.M will be mxy
Let, the numbers be 4x and 5x where x is H.C.F
⇒ L.C.M = H.C.F × 4 × 5
⇒ L.C.M = 6 × 20
⇒ L.C.M = 120