Question

Find the largest number which when divided by 729 and 524 has a remainder of 11 in each case

Answer 1

Hi !!!

This is the answer of your query.

Given numbers :----

729 and 524 with remainder 11 in each case.

Now, let us first find the LCM.

LCM of 729 and 524 :----

729 = 3 × 3 × 3 × 3 × 3 × 3
524 = 2 × 2 × 131

LCM = 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 131 = 381996.

As it leaves remainder 11. So, the required number = 381996 + 11 = 382007.

Hence, the largest number which when divided by 729 and 524 has a remainder of 11 in each case is 382007.

Hope it helps