# maths

What is the smallest positive integer which gives 1 as a remainder when divided by the numbers 2,3,4,5,6

1. 👍 0
2. 👎 1
3. 👁 180
1. The LCM is 60
So how about 61 as the lowest number.

or
for the 2 it would be 3,5,7,9,11,13,....,57,59,61,63,..
for the 3 it would be 4,7,10,13,16,....,58,61,64,...
for the 4 it would be 5,9,13,17,...., 49,53,57,61,65,...
for the 5 it would be 6,11,16,....., 51,56,61,66,....
for the 6 it would be 7, 13,19,...., 49,55,61,67,...

For a while I was cheering for 13, but it looks like 61 is the winner.

1. 👍 0
2. 👎 1

## Similar Questions

1. ### math

Find the smallest positive integer not relatively prime to 2015 that has the same number of positive divisors as 2015.

2. ### math (challenging)

If R is the remainder when each of the numbers 1059, 1417, and 2312 is divided by D, where D is an integer greater than 1, compute the value of D-R

3. ### Maths

The smallest positive integer value of n for which 168 n is a multiple of 324

An unknown polynomial f(x) of degree 37 yields a remainder of 1 when divided by x – 1, a remainder of 3 when divided by x – 3, a remainder of 21 when divided by x – 5. Find the remainder when f(x) is divided by (x – 1)(x

1. ### Algebra

If p(x) is a polynomial and is divided by (x-k) and a remainder is obtained, then that remainder is p(k). If the quadratic p(x)=x^2-3x+5 gives the same remainder when divided by x+k as it does when divided by x-3k find the value

2. ### Maths

Hi, What is the lowest positive integer greater than 1, which when divided by 5 or 8 leaves a remainder of 1 Thanks

3. ### math

1.) when the expression 4x^2-3x-8 is divided by x-a, the remainder is 2. find the value of a. 2.) the polynomial 3x^3+mx^2+nx+5 leaves a remainder of 128 when divided by x-3 and a remainder of 4 when divided by x+1. calculate the

4. ### discrete math

let d be a positive integer. Show that among any group of d+19not necessarily consecutive) integers there are two with exactly the same remainder when they are divided by d. The possible values of the remainders are 0, 1, 2,

1. ### Math

This problem from China is almost 2000 years old: Find a number that when divided by 3 gives a remainder of 2, when divided by 5 gives a remainder of 3, and when divided by 7 gives a remainder of 4.

2. ### math

1)what is the smallest integer greater than 1 that leaves a remainder of 1 when divided by any of the integers 8,9, and 10? 2) The square root of the difference of (B^2 /16) and (b^2/25) 3) Mr. Baker is 30 years old when his son

3. ### math

When a is divided by 7,the remainder is 4.When b is divided by 3,the remainder is 2.If 0

4. ### math

When a positive integer, n, is divided by 24 the remainder is 18. When n is divided by 8 the remainder is: A.0 B.1 C.2 D.4 E.6 I tried doing n/24=18 and I got 432 and when I divided it by 8 I got 54; am I misinterpreting the