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What is the L.C.M. of 144, 180 and 192 by prime factorization method?
- a)2680
- b)2780
- c)2880
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the L.C.M. of 144, 180 and 192 by prime factorization method?a...
To find the LCM of 144, 180, and 192 using prime factorization method, we need to follow the following steps:
Step 1: Find the prime factors of each number
144 = 2^4 × 3^2
180 = 2^2 × 3^2 × 5
192 = 2^6 × 3
Step 2: Identify the highest power of each prime factor that appears in any of the given numbers
2^6, 3^2, and 5
Step 3: Multiply the highest powers of the prime factors identified in step 2
2^6 × 3^2 × 5 = 2880
Therefore, the LCM of 144, 180, and 192 is 2880.
Answer: c) 2880
Step 1: Find the prime factors of each number
144 = 2^4 × 3^2
180 = 2^2 × 3^2 × 5
192 = 2^6 × 3
Step 2: Identify the highest power of each prime factor that appears in any of the given numbers
2^6, 3^2, and 5
Step 3: Multiply the highest powers of the prime factors identified in step 2
2^6 × 3^2 × 5 = 2880
Therefore, the LCM of 144, 180, and 192 is 2880.
Answer: c) 2880
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Community Answer
What is the L.C.M. of 144, 180 and 192 by prime factorization method?a...
L.C.M. of 144, 180, 192
144 = 24 × 32
180 = 22 × 32 × 5
192 = 26 × 3
∴ L.C.M. = 26 × 32 × 5 = 2880
144 = 24 × 32
180 = 22 × 32 × 5
192 = 26 × 3
∴ L.C.M. = 26 × 32 × 5 = 2880
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What is the L.C.M. of 144, 180 and 192 by prime factorization method?a)2680b)2780c)2880d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is the L.C.M. of 144, 180 and 192 by prime factorization method?a)2680b)2780c)2880d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the L.C.M. of 144, 180 and 192 by prime factorization method?a)2680b)2780c)2880d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
What is the L.C.M. of 144, 180 and 192 by prime factorization method?a)2680b)2780c)2880d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is the L.C.M. of 144, 180 and 192 by prime factorization method?a)2680b)2780c)2880d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the L.C.M. of 144, 180 and 192 by prime factorization method?a)2680b)2780c)2880d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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