Correct Answer - Option 1 : 2861
Given:
To find the least number in which when 19 is added, it will be completely divisible by 36, 64 and 90.
Concept used:
Lowest Common Multiple
Calculation:
By Prime Factorization of 36, 64 and 90 we get,
36 = 22 × 32
64 = 26
90 = 2 × 32 × 5
⇒ LCM (36, 64, 90) = 26 × 32 × 5 = 2880
∴ The required least number will be (2880 - 19) = 2861
