Q. Find out the smallest 5-digit number which is completely divisible by 12, 24, 36 and 64.

10368

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10386

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10576

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 10368
LCM of 12, 24, 36 and 64

$12 = 2^{2} \times 3; 24 = 2^{3} \times 3; 36 = 2^{2} \times 3^{2}; 64 = 2^{6}$

$L C M = 2^{6} \times 3^{2} = 64 \times 9 = 576$

$S m a l l e s t 5 - d i g i t n u m b e r = 10000$

$N o w, 10000 / 576 \to R e m a i n d e r = 208$

$D e s i r e d n u m b e r = 10000 + (576 - 208)$

$= 10000 + 368 = 10368.$

Suggest Corrections

Similar questions

12

16, 24 a n d 40

4 -

18, 24

32

3

5, 8

12.

Join BYJU'S Learning Program