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Question 1013969: Find the least number of 5 digits divisible by 60,18,24and 30
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! .
Find least common multiple:
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60 = 2 x 2 x 3 x 5
30 = 2 x 3 x 5
18 = 2 x 3 x 3
24 = 2 x 2 x 2 x 3
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Take the largest number of prime factors from a single number:
There are three twos in 24, two threes in 18, and one five.
Least common multiple=2 x 2 x 2 x 3 x 3 x 5 = 360
The number will be divisible by 360.
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10000/360=27.8
28 x 360 = 10080
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ANSWER: The smallest 5 digit number divisible by all four
numbers is 10080.
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