Q. 7 F4.0( 2 Votes )

Find the LCM and HCF of the following integers by applying the prime factorization method :

1095 and 1168

Answer :

Given numbers are 1095 and 1168.


The prime factorization of 1095 and 1168 gives:






Here, 731 is the smallest power of the common factor 73.


Therefore, the H.C.F of these two integers = 73


24 × 31× 51 × 731 are the greatest powers of the prime factors 2, 3, 5 and 73 respectively involved in the given numbers.


Now, L.C.M of 1485 and 4356 = 2 × 2 × 2 × 2 × 3 × 5 × 73= 17520


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
Relation Between LCM , HCF and Numbers46 mins
Application of Euclids Division Lemma50 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