Q. 9 F

# Find LCM and HCF of the following integers by using prime factorization method:48, 72 and 108

Given numbers are 48, 72 and 108

Factorization of 48, 72 and 108

Here, 22 × 31 are the smallest powers of the common factors 2 and 3 respectively.

So, HCF (48, 72, 108) = 2 × 2 × 3 = 12

24 × 33 are the greatest powers of the prime factors 2 and 3 respectively involved in the given three numbers .

LCM of these three integers = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432

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
Euclids Division Lemma49 mins
Quiz | Imp Qs on Real Numbers37 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Relation Between LCM , HCF and Numbers46 mins
Application of Euclids Division Lemma50 mins
Quiz | Fun with Fundamental Theorem of Arithmetic51 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