find the least 4 digit number which when divided by 24 , 16 and 12 leaves a reminder 5 in each case
Answers
Answered by
6
hiii brainmate ,
To get the required number, we need to find the LCM of 24, 16 and 12.
LCM of 24, 16, 12 = 48
For 4-digit number, 100 is multiplied by 48.
i.e. 48×100 = 4800
And hence it also leaves 5 as remainder, so,
5 is added to 4800 ,
4800 + 5 = 4805, which is the required number.
To get the required number, we need to find the LCM of 24, 16 and 12.
LCM of 24, 16, 12 = 48
For 4-digit number, 100 is multiplied by 48.
i.e. 48×100 = 4800
And hence it also leaves 5 as remainder, so,
5 is added to 4800 ,
4800 + 5 = 4805, which is the required number.
Similar questions