Question

Find the least number which when divided by 13, 9 and 15 leaves the remainders 8, 4 and 10.
450
650
O
585
580​

Answer 1

Answer:

Hence, the least number which when divided by 13,9 and 15 leaves the remainders 8, 4 and 10 = 5.

Answer 2

Answer: 580

Step-by-step explanation:

The least number which when divided by 13, 9 and 15 is

Step 1- Factorization of 13 , 9 , 15

13 = 1 × 13

9 = 3 × 3

15 = 3 × 5

LCM = 13 × 3 × 3 × 5

LCM = 585 ( Divisor)

Here we can see all remainders are 5 less than divisor , so the number is

    585 - 5 = 580

so the number is 580 which is divided by 13, 9 and 15 leaves the remainders 8, 4 and 10.