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Lcm of 18 24 36 by prime factorization?
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Lcm of 18 24 36 by prime factorization?
Prime Factorization of 18, 24, and 36
To find the LCM of 18, 24, and 36 by prime factorization, we first need to break down each number into its prime factors.
- 18 = 2 x 3^2
- 24 = 2^3 x 3
- 36 = 2^2 x 3^2
Finding the LCM
To find the LCM, we need to take the highest power of each prime factor that appears in any of the numbers.
- The prime factors in the numbers are 2 and 3.
- The highest power of 2 that appears is 2^3 from 24.
- The highest power of 3 that appears is 3^2 from 18 and 36.
Calculating the LCM
Now, we multiply these highest powers together to find the LCM:
LCM = 2^3 x 3^2
LCM = 8 x 9
LCM = 72
Therefore, the LCM of 18, 24, and 36 by prime factorization is 72.
To find the LCM of 18, 24, and 36 by prime factorization, we first need to break down each number into its prime factors.
- 18 = 2 x 3^2
- 24 = 2^3 x 3
- 36 = 2^2 x 3^2
Finding the LCM
To find the LCM, we need to take the highest power of each prime factor that appears in any of the numbers.
- The prime factors in the numbers are 2 and 3.
- The highest power of 2 that appears is 2^3 from 24.
- The highest power of 3 that appears is 3^2 from 18 and 36.
Calculating the LCM
Now, we multiply these highest powers together to find the LCM:
LCM = 2^3 x 3^2
LCM = 8 x 9
LCM = 72
Therefore, the LCM of 18, 24, and 36 by prime factorization is 72.
Community Answer
Lcm of 18 24 36 by prime factorization?
72 is the answer with prime factorization methad
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Lcm of 18 24 36 by prime factorization?
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Lcm of 18 24 36 by prime factorization? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Lcm of 18 24 36 by prime factorization? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lcm of 18 24 36 by prime factorization?.
Lcm of 18 24 36 by prime factorization? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Lcm of 18 24 36 by prime factorization? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lcm of 18 24 36 by prime factorization?.
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