CBSE Class 10CBSE
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution - Find the LCM and HCF of the following integers by applying the prime factorisation method - CBSE Class 10 - Mathematics

ConceptFundamental Theorem of Arithmetic

Question

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

(i) 12, 15 and 21

(ii) 17, 23 and 29

(iii) 8, 9 and 25

Solution

(i) 12, 15 and 21

12 = 2 x 2 x 3

15 = 5 x 3

21 = 7 x 3

From the above , HCF(12, 15, 21) = 3 and LCM(12, 15, 21) = 420

(ii) 17, 23 and 29

17 = 1 x 17

23 = 1 x 23

29 = 1 x 29

From the above, HCF (17, 23, 29) = 1 and LCM (17, 23, 29) = 11339

(iii) 8, 9 and 25

8 =  23 x 1

9 = 32 x 1

25 = 52 x 1

From the above HCF (8, 9, 25) = 1 and LCM (8, 9, 25) = 1800

Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 10 (with solutions)
Chapter 1: Real Numbers
Q: 3 | Page no. 11

Video TutorialsVIEW ALL [1]

Reference Material

Solution for question: Find the LCM and HCF of the following integers by applying the prime factorisation method concept: Fundamental Theorem of Arithmetic. For the course CBSE
S