wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the smallest number which, when increased by 1 is exactly divisible by 12, 18, 24, 32, and 40.

A
1427
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1536
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1439
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
2412
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 1439

Let us find out the L.C.M. of 12, 18, 24, 32, and 40

L.C.M.
= 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440

1440 = 1439 + 1

Hence, 1439 is the smallest number which, when increased by one is exactly divisible by the given numbers.


flag
Suggest Corrections
thumbs-up
51
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Special Factors and Multiples
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon