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Find the l.c.m of the following set of the number by the prime factorisation method 120,250?
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Find the l.c.m of the following set of the number by the prime factori...
Prime Factorisation Method to Find LCM of 120 and 250
To find the least common multiple (LCM) of two numbers, 120 and 250, we can use the prime factorisation method. This method involves finding the prime factors of each number and then multiplying together the highest powers of all the prime factors.
Prime Factors of 120:
To find the prime factors of 120, we divide it by the smallest prime number, which is 2. We continue dividing by 2 until we cannot divide any further. The prime factors of 120 are 2, 2, 2, and 3.
2 × 2 × 2 × 3 = 24
Prime Factors of 250:
To find the prime factors of 250, we divide it by the smallest prime number, which is 2. We continue dividing by 2 until we cannot divide any further. The prime factors of 250 are 2, 5, and 5.
2 × 5 × 5 = 50
Finding the LCM:
To find the LCM, we need to take the highest powers of all the prime factors. In this case, the highest power of 2 is 3 and the highest power of 5 is 2.
Therefore, LCM of 120 and 250 = 2^3 × 3 × 5^2 = 8 × 3 × 25 = 600.
Conclusion:
Using the prime factorisation method, we found that the LCM of 120 and 250 is 600.
To find the least common multiple (LCM) of two numbers, 120 and 250, we can use the prime factorisation method. This method involves finding the prime factors of each number and then multiplying together the highest powers of all the prime factors.
Prime Factors of 120:
To find the prime factors of 120, we divide it by the smallest prime number, which is 2. We continue dividing by 2 until we cannot divide any further. The prime factors of 120 are 2, 2, 2, and 3.
2 × 2 × 2 × 3 = 24
Prime Factors of 250:
To find the prime factors of 250, we divide it by the smallest prime number, which is 2. We continue dividing by 2 until we cannot divide any further. The prime factors of 250 are 2, 5, and 5.
2 × 5 × 5 = 50
Finding the LCM:
To find the LCM, we need to take the highest powers of all the prime factors. In this case, the highest power of 2 is 3 and the highest power of 5 is 2.
Therefore, LCM of 120 and 250 = 2^3 × 3 × 5^2 = 8 × 3 × 25 = 600.
Conclusion:
Using the prime factorisation method, we found that the LCM of 120 and 250 is 600.
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Find the l.c.m of the following set of the number by the prime factorisation method 120,250?
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Find the l.c.m of the following set of the number by the prime factorisation method 120,250? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the l.c.m of the following set of the number by the prime factorisation method 120,250? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the l.c.m of the following set of the number by the prime factorisation method 120,250?.
Find the l.c.m of the following set of the number by the prime factorisation method 120,250? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the l.c.m of the following set of the number by the prime factorisation method 120,250? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the l.c.m of the following set of the number by the prime factorisation method 120,250?.
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