Question

The cycles for two different events are shown in the table. Each of these events happened in the year 2000. What is the next year in which both will happen if the summer Olympics cycle is 4 and the U.S census cycle is 10?

Answer 1

The answer is 2020 (the LCF for 10 and 4 is 20)

Answer 2

Answer with explanation:

Cycle for Summer Olympics =14

Cycle for Census =10

We have to find the year in which both will fall together.

Among H C F and L C M, Lowest common multiple gives the greatest number which is divisible by both the numbers that is 14 and 10.

14= 2 × 7

10 = 2×5

L C M of 14 and 10 = 2 × 5×7= 70

So, in 2070 ,the two summer Olympics as well as US census cycle will fall.