Two ships sail between New York and London. One makes the round trip in 12 days. The other takes 16 days. They both leave London today. What is the soonest both ships will leave London together again?

In order to find the answer to this question, you would need to find the Greatest Common Factor of 16 and 12 which would be 4 because 4 is the greatest amount that you can divide both 12 and 16 by. So the soonest both ships will leave together again will be in 4 days.

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ap8997154 ap8997154 · Answer 2 · 2022-07-30T08:33:32+02:00

The least common multiple that is divisible by both a and b is the smallest positive integer. The soonest both ships will leave London together again is after 48 days.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Given that Two ships sail between New York and London. One makes the round trip in 12 days. The other takes 16 days.

Now, to know the number of days in which the two ships will start their journey together again you need to take the LCM of the time they take to complete the trips.

The factors of the two numbers are,

12 = 3 × 2 × 2 × 1

16 = 2 × 2 × 2 × 2 × 1

Since LCM should contain every factor of the two numbers, therefore, the LCM of the two numbers will be,m

LCM = 3 × 2 × 2 × 2 × 2 × 1 = 48

Therefore, the soonest both ships will leave London together again is after 48 days.

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