find the greatest 5 digit number which is exactly divisible by 24 15 and 36
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Answered by
50
We will find out the LCM of 24, 15 and 36
24= 2×2×2×3
15=3×5
36=2×2×3×3
LCM of (24, 15 and 36) = 2×2×2×3×3×5=360
Now, greatest 5- digit number =99999
Now we will divide this number by the LCM of (24, 15 and 36)
99999/360 will get remainder 279
Now, 99999-279= 99720
Hence the greatest five digit number exactly divisible by 24 ,15 and 36 is 99720
24= 2×2×2×3
15=3×5
36=2×2×3×3
LCM of (24, 15 and 36) = 2×2×2×3×3×5=360
Now, greatest 5- digit number =99999
Now we will divide this number by the LCM of (24, 15 and 36)
99999/360 will get remainder 279
Now, 99999-279= 99720
Hence the greatest five digit number exactly divisible by 24 ,15 and 36 is 99720
Answered by
1
Answer:
First of all you have find the LCM of 15,24 and 36 which is 360.
Then divide it with largest 5 digit number which is 99999.
You will get a remainder = 279.
Now subtract 279 from 99999.
You will get 99720.
Which is your final answer.
Step-by-step explanation:
Hope it will help you out of
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