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.
