Find the greatest number of 6 digits numbers exactly divisible by 24, 15 and 36..

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

999720

11256

25452

None of these.

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept: To solve this problem, you need to find the numerical LCM, divide it, and see if there is any remainder left. Then subtract the remainder from the maximum number to get the answer.
If the number is divisible by 24, 15, 36, then the number should be divisible by the common multiple of 24, 15, 36, so we know that the LCM of 24, 15, 36 is 360. Currently, the maximum 6 digit number is 999999.
By doing now

You will receive a reminder 279.
So if you divide a 6-digit number exactly by 24, 15, and 36, you can calculate:

999720 is the biggest 6-digit variety divisible with the aid of using 24, 15, and 36.
Therefore, the answer is

Hence, the correct answer is option 1) 999720

Watch 3-min video & get full concept clarity