What are the largest 4 digit and the smallest
Asked by admin @ in Math viewed by 328 People
What are the largest 4 digit and smallest 3 digit numbers divisible by 6,15,21 & 24
Asked by admin @ in Math viewed by 328 People
What are the largest 4 digit and smallest 3 digit numbers divisible by 6,15,21 & 24
Answered by admin @
Answer:
The largest 4 digit number is 9240 and smallest 3 digit number is 840.
Step-by-step explanation:
To find : What are the largest 4 digit and smallest 3 digit numbers divisible by 6,15,21 & 24 ?
Solution :
First we find the LCM of the numbers 6,15,21 & 24
2 | 6 15 21 24
2 | 3 15 21 12
2 | 3 15 21 6
3 | 3 15 21 3
5 | 1 5 7 1
7 | 1 1 7 1
| 1 1 1 1
The largest number in 4 digits = 9999
Now,
Remainder = 759
So the largest number, divisible by 6, 15, 21 and 24 is
The smallest number in 3 digits, divisible by 6, 15, 21 and 24 is LCM.
i.e. n=840
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