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Aptitude · Q74

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 74

Q74

The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is?

A.
9690
B.
9720
Answer
C.
9930
D.
9960

Answer: Option B

Solution

Answer: Option B
Solution:
LCM of (12, 15, 18, 27)
⇒ 4 × 3 × 5 × 3 × 3 = 540
largest 4-digits number = 9999 on dividing by 540 to number =
remainder = 279
Required number = 9999 - 279 = 9720