What is the reminder when {(127^97)+(97^97)} is devisible by 32

The sum of two co prime number is 945 the find their LCM.

Find the least prefect square number which completely divisible by 56, 60, 84 and 96 ?

Let X be the least number divisible by 16, 24, 30, 36 and 45  and X is also a perfect square .what  is the reminder when X is divisible by 123 .

The greatest number of 5 digit that exactly divisible by each 8,12,15 and 20.

The least number of 5 digit which exactly divisible by 52, 56, 78 and 91.

The number between 22000 and 23000 that divisible by each of 12,18,21 and 32

The greatest number of six digit which gives reminder 10, when divisible by 36, 48, 54, 60 and 90

The least number of 5 digit which is divisible by 45, 60, 75 and 120 when it is added to 119.

Let X be the smallest number, which when added to 2000 makes resulting  number  divisible by 12 ,16,18,and 21. The sum of the number of X is

The number which when divide by a,b,c leaves remainder x,y,z respectively such that

K= a-x=b-y=c-z 

Find number ?