Question

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

Answer 1

Answer:

43517

Step-by-step explanation:

for this first we have to find LCM(989,1892)

989 = 23×43

1892 = 2²×11×43

∴ LCM = 2²×11×23×43 =43516

Required number = LCM+remainder 1 = 43516+1 = 43517

verification: divide 43517 by 989 and 1892 we get remainder as 1