# smallest number

• Mar 7th 2007, 05:00 PM
diamond1
smallest number
A quality control inspector in an egg factory checks every forty eighth egg for cracks and every fifty fourth egg for weight. What is the number of the first egg each day that the inspector check for both qualities?
• Mar 7th 2007, 09:27 PM
CaptainBlack
Quote:

Originally Posted by diamond1
A quality control inspector in an egg factory checks every forty eighth egg for cracks and every fifty fourth egg for weight. What is the number of the first egg each day that the inspector check for both qualities?

You need the lowest common multiple of 48 and 54. Use whatever method
you have been shown to find this.

One way is to use the prime decompositions of the two numbers: 48=2^4*3, and 54=2*3^3, so lcm(48,54)= 2^4*3^3 = 432

So it is the 432nd egg that is checked for both qualities.

RonL
• Mar 21st 2007, 04:08 PM
mini
yes 432 is correc i tried a different method and it still worked. i wrote down all the eggs checked for cracks and all the eggs checked for weight until one matched