is the least number leaves remainder 1 when divided by `2,3,4,5,6,7,8,9,10`

is the least number leaves remainder 1when divided by 2,3,4,5,6,7,8,9,10

What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divide by 9 ?

Find the least number which when divided by 2,3,4,5 and 6 leaves 1,2,3,4 and 5 as remainders respectively, but when divided by 7 leaves no remainders

What is the least number which when divided by the numbers 3,5,6,8,10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder?

What is the least number which when divided by the numbers 3,5,6,8,10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder.

What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder?