Q. 9 B5.0( 1 Vote )

# Find LCM and HCF of the following integers by using prime factorization method:8, 9, and 25

Given numbers are 8, 9 and 25

Factorization of 8, 9 and 25 8 = 2 × 2 × 2 × 1 = 23 × 1

9 = 3 × 3 × 1 = 32 × 1

25 = 5 × 5 × 1 = 52 × 1

Here, 11 is the smallest power of the common factor 1.

So, HCF (8, 9, 25) = 1

23 × 32 × 52 are the greatest powers of the prime factors 2, 3 and 5 respectively involved in the given three numbers .

LCM of these three integers = 2 × 2 × 2 × 3 × 3 × 5 × 5 = 1800

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  Euclids Division Lemma49 mins  Fundamental Theorem of Arithmetic- 143 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 