What is the least natural number which leaves no remainders when...

Home / Arithmetic Ability / Problems On H.C.F And L.C.M / Question

Examveda

What is the least natural number which leaves no remainders when divided by all the digits from 1 to 9 ?

A. 1800

B. 1920

C. 2520

D. 5040

Answer: Option C

Solution(By Examveda Team)

The least natural number which leaves no remainder when divided by all the digit from 1 to 9 should be the LCM of 1 to 9.
∴ Required number
= LCM of (1, 2, 3, 4, 5, 6, 7, 8, 9)
= 2 × 2 × 3 × 5 × 7 × 2 × 3
= 2520

This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M

Join The Discussion

Related Questions on Problems on H.C.F and L.C.M

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4

B. 7

C. 9

D. 13

View Answer

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A. 276

B. 299

C. 322

D. 345

View Answer

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A. 4

B. 10

C. 15

D. 16

View Answer

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

A. 4

B. 5

C. 6

D. 8

View Answer

More Related Questions on Problems on H.C.F and L.C.M