UPSC Exam > UPSC Questions > Find the LCM of the given numbers by prime fa...
Start Learning for Free
Find the LCM of the given numbers by prime factorization method
iii 108,135,162?
iii 108,135,162?
Most Upvoted Answer
Find the LCM of the given numbers by prime factorization method iii 10...
Prime Factorization Method to Find LCM of 108, 135, and 162
Step 1: Find Prime Factors of Each Number
- Prime factors of 108:
108 = 2 x 2 x 3 x 3 x 3 = 2^2 x 3^3
- Prime factors of 135:
135 = 3 x 3 x 3 x 5 = 3^3 x 5
- Prime factors of 162:
162 = 2 x 3 x 3 x 3 x 3 = 2 x 3^4
Step 2: Identify Common and Uncommon Prime Factors
- Common prime factors: 2, 3
- Uncommon prime factors: 5
Step 3: Calculate LCM
- LCM = product of all prime factors with the highest power
- LCM = 2^2 x 3^4 x 5 = 3240
Therefore, the Least Common Multiple (LCM) of 108, 135, and 162 is 3240.
Step 1: Find Prime Factors of Each Number
- Prime factors of 108:
108 = 2 x 2 x 3 x 3 x 3 = 2^2 x 3^3
- Prime factors of 135:
135 = 3 x 3 x 3 x 5 = 3^3 x 5
- Prime factors of 162:
162 = 2 x 3 x 3 x 3 x 3 = 2 x 3^4
Step 2: Identify Common and Uncommon Prime Factors
- Common prime factors: 2, 3
- Uncommon prime factors: 5
Step 3: Calculate LCM
- LCM = product of all prime factors with the highest power
- LCM = 2^2 x 3^4 x 5 = 3240
Therefore, the Least Common Multiple (LCM) of 108, 135, and 162 is 3240.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
Find the LCM of the given numbers by prime factorization method iii 108,135,162?
Question Description
Find the LCM of the given numbers by prime factorization method iii 108,135,162? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the LCM of the given numbers by prime factorization method iii 108,135,162? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the LCM of the given numbers by prime factorization method iii 108,135,162?.
Find the LCM of the given numbers by prime factorization method iii 108,135,162? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the LCM of the given numbers by prime factorization method iii 108,135,162? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the LCM of the given numbers by prime factorization method iii 108,135,162?.
Solutions for Find the LCM of the given numbers by prime factorization method iii 108,135,162? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Find the LCM of the given numbers by prime factorization method iii 108,135,162? defined & explained in the simplest way possible. Besides giving the explanation of
Find the LCM of the given numbers by prime factorization method iii 108,135,162?, a detailed solution for Find the LCM of the given numbers by prime factorization method iii 108,135,162? has been provided alongside types of Find the LCM of the given numbers by prime factorization method iii 108,135,162? theory, EduRev gives you an
ample number of questions to practice Find the LCM of the given numbers by prime factorization method iii 108,135,162? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup