Correct Answer - Option 3 : 364
LCM of 6, 9, 15, 18 is 90.
Let the number is (90k+4),which is multiple of 7.
Put the value of k=1, 2, 3, 4, 5....
Put k = 1
⇒ (90×1 + 4) = 94
⇒ 94\7, remainder = 3
Put k = 2
⇒ (90×2 + 4) = 184
⇒ 184\7, remainder = 2
Put k = 3
⇒ (90×3 + 4) = 274
⇒ 274\7, remainder = 1
Put k = 4
⇒ (90×4 + 4) = 364
⇒ 364\7, remainder = 0
∴ 364 is the least multiple of 7 which leaves 4 as remainder when divided by each of 6, 9, 15 and 18 .
