Which is the least no. of five digit numbers that is exactly divisible by 6, 8, 15, 20 and 25.
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Answered by
1
10080 is the answer.
~ 6
^ 4.0
because, the LCM of all given numbers
6,8,15,16,20 is: 240
but we want smallest 5 digit number, so, the
smallest 5 digit number that is divisible by all
given number must be close to 10000 (which is
smallest 5 digit number of all)
so divide the 10000 by 240
10000/240=41.666666 recurring
so, it is approximately equal to 42
so 240*42=10080.
240*41 gives you 4 digit number.
so 10080 is the smallest five digit number that is
divisible by all given numbers.
~ 6
^ 4.0
because, the LCM of all given numbers
6,8,15,16,20 is: 240
but we want smallest 5 digit number, so, the
smallest 5 digit number that is divisible by all
given number must be close to 10000 (which is
smallest 5 digit number of all)
so divide the 10000 by 240
10000/240=41.666666 recurring
so, it is approximately equal to 42
so 240*42=10080.
240*41 gives you 4 digit number.
so 10080 is the smallest five digit number that is
divisible by all given numbers.
Answered by
0
Answer:
10080 is a 5digit number that is exactly divisible by 6,8,15,20 and 25
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