Answer:
A. 84; B. 8; C. 8 × 19
Step-by-step explanation:
Part A. Least common multiple
Step 1. List the prime factors of each.
7 = 7
12 = 2 × 2 × 3
Step 2: Multiply each factor the greatest number of times it occurs in either number.
7 has one 7; 12 has two 2s and one 3.
LCM = 7 × 2 × 2 × 3
LCM = 7 × 12
LCM = 84
Part B. Highest common factor
Find all the factors of 56 and 96.
Factors of 56: 1, 2, 4, 7, 8, 14, 28
Factors of 96: 1, 2, 4, 6, 8, 12, 16, 24, 32, 48
The highest factor that in both 56 and 96 is 8.
Part C. Factoring
56 + 96 = 8(7 + 12) = 8 × 19
The GCF is 8.
19 = 7 + 12 is the sum of two numbers that do not have a common factor.
