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7) matt is stacking boxes in two stacks. the first stack has boxes that…

Question

  1. matt is stacking boxes in two stacks. the first stack has boxes that are 15 inches tall. the second stack has boxes that are 10 inches tall. what is the shortest height at which both stacks will have the same height?

Explanation:

Step1: Find LCM of 15 and 10

Prime factorize 15: \(15 = 3 \times 5\)
Prime factorize 10: \(10 = 2 \times 5\)
LCM is product of highest powers: \(2 \times 3 \times 5 = 30\)

Answer:

30 inches