Q. 185.0( 1 Vote )

Find the H.C.F and L.C.M of 30, 72, 432 by using prime factorization method.

Answer :

H.C.F of 30, 72 and 432 by using prime factorization method is

Prime factors of 30 = 2 × 3 × 5


Prime factors of 72 = 2 × 2 × 2 × 3 × 3


Prime factors of 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3


The H.C.F of 30, 72 and 432 is the product of all common prime factors using the least power of each common prime factor.


Common Prime Factor = 2 × 3 = 6


L.C.M of 30, 72 and 432 is the product of all common prime factors using the highest power of each common prime factor.


2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 = 2160


H.C.F is 6


And L.C.M is 2160


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Fundamental Theorem of Arithmetic-2Fundamental Theorem of Arithmetic-2Fundamental Theorem of Arithmetic-238 mins
Interactive Quiz:Euclid's Division LemmaInteractive Quiz:Euclid's Division LemmaInteractive Quiz:Euclid's Division Lemma44 mins
NCERT | Imp. Qs. on Rational and Irrational NumbersNCERT | Imp. Qs. on Rational and Irrational NumbersNCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Fundamental Theorem of Arithmetic- 1Fundamental Theorem of Arithmetic- 1Fundamental Theorem of Arithmetic- 143 mins
Champ Quiz | Fundamental Principle Of ArithmeticChamp Quiz | Fundamental Principle Of ArithmeticChamp Quiz | Fundamental Principle Of Arithmetic41 mins
Quiz | Imp Qs on Real NumbersQuiz | Imp Qs on Real NumbersQuiz | Imp Qs on Real Numbers37 mins
Relation Between LCM , HCF and NumbersRelation Between LCM , HCF and NumbersRelation Between LCM , HCF and Numbers46 mins
Application of Euclids Division LemmaApplication of Euclids Division LemmaApplication of Euclids Division Lemma50 mins
Quiz | Fun with Fundamental Theorem of ArithmeticQuiz | Fun with Fundamental Theorem of ArithmeticQuiz | Fun with Fundamental Theorem of Arithmetic51 mins
Euclids Division LemmaEuclids Division LemmaEuclids Division Lemma49 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
caricature
view all courses