you are creating identical candy bags using 18 chocolate bars and 30 peanut butter cups. What is the greatest number of bags you can fill using all the candy
the greatest common factor of 18 and 30 is ?
that's how many bags
To find the greatest number of bags you can fill using all the candy, you need to determine the lowest common multiple (LCM) of 18 and 30.
To find the LCM, you can use the prime factorization method or a common multiples approach. Let's use the prime factorization method:
Step 1: Prime factorize each number.
18 = 2 * 3^2
30 = 2 * 3 * 5
Step 2: Write the highest power of each prime factor from both numbers.
2^1 * 3^2 * 5^1
Step 3: Multiply the prime factors to find the LCM.
2 * 3^2 * 5 = 2 * 9 * 5 = 90
Therefore, the LCM of 18 and 30 is 90. This means you can fill a maximum of 90 identical candy bags using all the candy.