Expert: Lynn Houston - 9/7/2008

Question
please i can't get the least common multiple of  2,3 5,7 and 11,19


I need help

Answer
Simply, the question is, what is the smallest number that 2,3,5,7,11,19 all go into.  Usually, the way you would do this is to take the factors of each number and multiply the minimum number to get the LCM.  For example, take 2, 8, 20 and 22.  Factors are 1*2, 2*2*2, 2*2*5 and 2*11, so the LCM is 2*2*2*5*11 or 440.  However, if you notice, you're list are all prime numbers, so the only factors of prime numbers are 1 and the number itself.  That means, the LCM of 2,3,5,7,11, and 19 is
2*3*5*7*11*19 or 43890.

Btw, did you leave out 17 or 13 (2 other primes between 11 and 19)