Find the least number which when divided by 6. 15 and 18 leave remainder
5 in each case.
Answers
Answered by
4
Answer:
9000 can be the correct answer dude
Answered by
5
Solution :-
To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case,
we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number. L.C.M. of 6, 5 and 18
6 = 2*3
15 = 3*5
18 = 2*3*3
L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90
Now, 5 + 90 = 95
Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.
Let us check our answer.
1) 95/6 Quotient = 15 Remainder = 5
2) 95/15 Quotient = 6 Remainder = 5
3) 95/18 Quotient = 5 Remainder = 5 So, the required number is 95. Answer.
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