The ratio of two numbers is 4 : 5, and their HCF is 3. What is their LCM?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 60.
Here, we have numbers in the ratio 4 : 5, and their HCF is 3
As the numbers are in co-prime common factor so, the number becomes 4 × 3 = 12 and 5 × 3 = 15
As we know,
L.C.M × H.C.F = Product of two numbers
⇒ L.C.M × 3 = 12 × 15
⇒ L.C.M = 60
Thus,
LCM of these two numbers is 60