Correct Answer - Option 1 : 36
Concept used:
List the prime factors of each numbers and then multiply each factor the most number of times it occurs in any number.
If the same multiple occurs more than once in both the given numbers, then multiply the factor the most number of times it occurs.
Calculation:
List the prime factors of each number first.
⇒ 9 = 32
⇒ 12 = 22 × 3
⇒ 18 = 2 × 32
The occurrence of Numbers in the above list:
2: two times
3: two times
LCM = 2 × 2 x 3 × 3 = 36
∴ The LCM of: 9, 12, 18 is 36.
