Question

Find the least natural number which when divided by 989 and 1892 leaves a remainder 1​

Answer 1

Answer:

Required least number is 43517.

Step-by-step explanation:

Given numbers are 989 and 1892

We need to find the least number when divided by given number leaves 1 as remainder.

here, LCM of the given number is the least number.

We find LCM by Prime factorization method,

989 = 23 ×  43

1892 = 2 × 2 × 11 × 43

LCM = 43 × 23 × 2 × 2 × 11 = 43516

Now the required least number = 43516 + 1 = 43517

Therefore, Required least number is 43517.