Q. 243.9( 13 Votes )

If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is
A. 203400

B. 194400

C. 198400

D. 205400

Answer :

Given:The sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF.
To find: The product of two numbers.
Solution: Let LCM be x and HCF be y.

Then, by given condition,Sum of LCM and HCF
x + y = 1260    (1)

Also, LCM is 900 more than HCF i.e.
x = 900 + y

Substituting x = 900 + y in equation (1)

900 + y + y = 1260

900 + 2y = 1260

2y = 360

y = 180

Then, x = 900 + 180 = 108

Thus, LCM = 1080 and HCF = 180


We know that for any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.


1080 × 180 = 194400

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
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Euclids Division Lemma49 mins
Fundamental Theorem of Arithmetic- 143 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