Question

HELP: how do you find the smallest number divisible by both 715 and 770?

Answer 1

Divide by 5?

Answer 2

yeah its 5

Answer 3

the answer is 10010

Answer 4

its the LCM you're looking for
770=2x5x7x11
715=5x11x13
so LCM(770;715)=2x5x7x11x13=10010

Answer 5

how do you go about finding the LCM?

Answer 6

factor each number
715 = 5 * 11 * 13
as ghass says

Answer 7

first do the prime factorization of each number
the LCM is the product of all factors raised to the highest power

Answer 8

how do you know which are raised to the highest power ?

Answer 9

well in our case all the powers are 1
but for example
if a=2^2x3^4 and b=2x3^2x7
then LCM(a,b)=2^2x3^4x7=...