Two numbers are in the ratio of 6 : 5. If their HCF is 3, then what is the LCM of the twonumbers?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 90
Given:
Two numbers are in the ratio of 6 ∶ 5.
Their HCF is 3.
Concept used:
1. If P is the HCF of A and B then A = P × m & B = P × n. (Where m and n are arbitrary positive integers and they are co-prime to each other)
2. LCM is the smallest common multiple of two or more numbers.
Calculation:
First number = 6 × 3 = 18
Second number = 5 × 3 = 15
LCM (18, 15) = 3 × 6 × 5 = 90
∴ Their LCM is 90.