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Find the LCM of the given numbers by prime factorization method
iii 108,135,162?
iii 108,135,162?
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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.
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Find the LCM of the given numbers by prime factorization method iii 108,135,162?
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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?.
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