Problems on H.C.F and L.C.M - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Problems on H.C.F and L.C.M :: Discussion

What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?

9956

10080

10096

9240

Answer : Option B

Explanation :

Take LCM of 3, 4, 5, 6, 7, and 8. It will be = 840.

Now, 10000/840 = 760 (remainder).

840 - 760 = 80. If we add 80 in the given number, the number is exactly divisible by 840.