Find the sum of all the common factors of 14 and 56.Multiply the result by the first common multiple of 3 and 9.What is the answer?
Question
Find the sum of all the common factors of 14 and 56. Multiply the result by the first common multiple of 3 and 9. What is the answer?
Solution
Sure, let's break it down:
Step 1: Find the common factors of 14 and 56. The factors of 14 are: 1, 2, 7, 14. The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56. The common factors are: 1, 2, 7, 14.
Step 2: Find the sum of these common factors. 1 + 2 + 7 + 14 = 24.
Step 3: Find the first common multiple of 3 and 9. The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, etc. The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, etc. The first common multiple is 9.
Step 4: Multiply the sum of the common factors by the first common multiple. 24 * 9 = 216.
So, the answer is 216.
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