Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 5)
5.
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
9000
9400
9600
9800
Answer: Option
Explanation:

Greatest number of 4-digits is 9999.

L.C.M. of 15, 25, 40 and 75 is 600.

On dividing 9999 by 600, the remainder is 399.

Required number (9999 - 399) = 9600.

Discussion:
121 comments Page 13 of 13.

Harika said:   2 weeks ago
15, 25, 40, 75.
5 ^2 * 3 * 2^3 = 600.
4 digits means = 9999,
9999/600 = 16,
600 * 16 = 9600,
9999 - 9600 = 399,
9999 - 399 = 9600.


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