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What is the ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594?

A. 110
B. 165
C. 330
D. 625
E. 660

Answer :

Final answer:

The ratio of the Least Common Multiple (LCM) of 180 and 594 to the Greatest Common Factor (GCF) of 180 and 594 is 330. This is found by first determining the LCM (5940) and GCF (18), then dividing the LCM by the GCF.

Explanation:

To find the ratio of the Least Common Multiple (LCM) of 180 and 594 to the Greatest Common Factor (GCF) of 180 and 594, first, we find the LCM and GCF separately.

  1. Finding the LCM: The LCM of 180 and 594 is 5940.
  2. Finding the GCF: The GCF of 180 and 594 is 18.

Finally, we divide the LCM by the GCF:

5940 ÷ 18 = 330.

So, the ratio of the LCM of 180 and 594 to the GCF of 180 and 594 is 330. Therefore, the correct answer is (C) 330.

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Rewritten by : Jeany

Answer:

330:1

Step-by-step explanation:

least common multiple of 180 and 594

180: 2×2×3×3×5

594: 2×3×3×11

LCM: 594×2×5 = 5940

GCF: 2×3×3 = 18

ratio:

5940:18

330:1

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