What is the common multiple of 20, 22, and 23?
This is for some probability questions, common denominator, etc.
+128579 I assume that you want to find the least common multiple. This is easy...let's factor each number completely.....
20 = 22 x 5
22 = 11 x 2
23 = 23 x 1
Now...take each different factor and multiply them together...if we have two factors (or more) that are the same, choose the one with the highest power. (exponent)...so we have
22 x 5 x 11 x 23 = 5060
And that's the least common multiple.
+128579 I assume that you want to find the least common multiple. This is easy...let's factor each number completely.....
20 = 22 x 5
22 = 11 x 2
23 = 23 x 1
Now...take each different factor and multiply them together...if we have two factors (or more) that are the same, choose the one with the highest power. (exponent)...so we have
22 x 5 x 11 x 23 = 5060
And that's the least common multiple.
+33616 There are an infinite number of common multiples of any three numbers. However, the simplest to find is often obtained just by multiplying the three together. In this case that would be 20*22*23 = 10120.
Sometimes it is more convenient to work with the least (or lowest) common multiple. This can be obtained by finding the prime factors of each number and multiplying together the highest power of each that occurs in any of them. Here we have 20 = 22*5, 22 = 2*11, 23 = 23, so the least common denominator is 22*5*11*23 = 5060.
Chris beat me to it!
