Question

determine two numbers nearest to 10000 which are exactly divisible by each of the numbers 20,24,35​

Answer 1

Answer:

The numbers which are exactly divisible by 2, 3, 4, 5, 6 and 7 are the multiples of the LCM of the given numbers.

∴ LCM = 2 x 2 x 3 x 5 x 7 = 420

Now, dividing 10000 by 420, we get remainder = 340

∴ Number just less than 10000 and exactly divisible by the given numbers = 10000 - 340 = 9660

Number just greater than 10000 and exactly divisible by the given numbers = 10000 + (420 - 340) = 10080

9660,10080