Question

The greatest number which divides 1155 and 3080 exactly is 385. Find the least number which is divisible by 1155 and 3080.

Please do it simply.​

Answer 1

Answer:

The least number which is divisible by 1155 and 3080 will be 9240.

Explanation

The greatest number which divides 1155 and 3080 exactly is 385. So

\begin{gathered}1155=385*3\\ and \\ 3080=385*8\end{gathered}

1155=385∗3

and

3080=385∗8

For finding the least number which is divisible by 1155 and 3080, we just need to find the LCM(Least common multiple) of 1155 and 3080.

As, here the common factor of 1155 and 3080 is 385 , so for finding the LCM we will multiply the common factor by all other remaining factors of 1155 and 3080.

Thus, the LCM =385*3*8= 9240=385∗3∗8=9240