Q. 425.0( 2 Votes )

Find the number nearest to 24001 and between 24001 and 25000 divisible by 16, 24, 40

Answer :

To find the required number we must find the l.c.m. of 16, 24 and 40.

16 = 2 × 2 × 2 × 2


24 = 2 × 2 × 2 × 3


40 = 2 × 2 × 2 × 5


l.c.m.(16, 24, 40) = 2 × 2 × 2 × 2 × 3 × 5 = 240


To find the number between 24001 and 25000,


Divide 24001 by 240


= 100. 004


So, the integer nearer to and greater than it is 101.


Hence, a number divisible by 240 and between 24001 and 25000 = 101 × 240 = 24240


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz:Euclid's Division Lemma44 mins
Fundamental Theorem of Arithmetic-238 mins
Champ Quiz | Fundamental Principle Of Arithmetic41 mins
Fundamental Theorem of Arithmetic- 143 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Euclids Division Lemma49 mins
Quiz | Imp Qs on Real Numbers37 mins
Interactive Quiz - HCF and LCM32 mins
Application of Euclids Division Lemma50 mins
Relation Between LCM , HCF and Numbers46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses