Rafael must choose a number between 55 and 101 that is a multiple of. 4,6, and 9

. Write all the numbers that he could choose. If there is more than one number, separate them with commas.

I believe the only number is 72.

If it is a multiple of 4, 6, and 9 it must be a multiple of the least common multiple. The LCM is the product of highest occurring primes among the numbers prime factorization ...

4=2*2, 6=2*3, 9=3*3 so the LCM is 2*2*3*3=36

Now we want to know the multiples of 36 between 55 and 101 so

55<36n<101 divide all terms by 36

1.52
2*36=72