Question

Word problem with common multiples Chris must choose a number between 61 and 107 that is a multiple of 6. 9. and 18. Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answer 1

We need to find the number which is divisible by 6,9 and 18.

The least common multiple of 6,9 and 10 is

`\text{ The least common mul}tiple\text{ of 6,9 and 18 is 2}*3*3=18`

So the numbers must be multiple of 18.

`18*4=72,\text{ 18}*5=90,\text{ and 18}*6=108`

108 is more than 107.

So the numbers are 72 and 90.

Hence the required numbers are

`72,90`