The answer to: find the smallest number which when divided by 15 and 24 leaves a remainder of 13 is = (L.C.M.) of 15 and 24 + remainder (13)
= 133
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Answer:
prime factors of 15 and 24 are
15= 3*5
24=2^3*3
thus LCM (15,24)=2^3*3*5
=8*3*5=120
the remainder is 13 both the time and 13 is less than both 15 and 24
thus the the said number=120+13=133
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