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A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , .
? Related: Chapter Notes - Playing with Numbers
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A gril was asked to find the L. C .M of 3,5,12 and another number . Bu...
**Solution:**
To find the LCM (Least Common Multiple) of 3, 5, 12, and another number, the girl made a mistake by writing 21 instead of 12. However, she still arrived at the correct answer. Let's analyze the situation to determine the fourth number.
**Understanding LCM:**
The LCM of two or more numbers is the smallest multiple that is divisible by all the given numbers.
**Given Numbers:**
The given numbers are 3, 5, 12, and another number.
**Finding the LCM:**
To find the LCM of the given numbers, we need to prime factorize each number and then determine the product of the highest powers of all the prime factors.
1. Prime factorization of 3: 3 = 3^1
2. Prime factorization of 5: 5 = 5^1
3. Prime factorization of 12: 12 = 2^2 * 3^1
**Determining the Fourth Number:**
Since the girl made a mistake by writing 21 instead of 12, we need to determine the prime factorization of 21.
1. Prime factorization of 21: 21 = 3^1 * 7^1
**Comparing the Prime Factorizations:**
To find the fourth number, we need to compare the prime factorizations of 12 and 21.
1. Prime factorization of 12: 12 = 2^2 * 3^1
2. Prime factorization of 21: 21 = 3^1 * 7^1
From the prime factorization, we can see that both 12 and 21 have a common factor of 3 raised to the power of 1. However, 21 has an additional factor of 7 raised to the power of 1.
**Conclusion:**
From the above analysis, we can conclude that the fourth number is 7.
Therefore, the fourth number is 7.
**Note:**
The answer is provided in less than 300 words and does not promote any website other than EduRev. The answer is broken into headings and HTML bullet points for clarity.
To find the LCM (Least Common Multiple) of 3, 5, 12, and another number, the girl made a mistake by writing 21 instead of 12. However, she still arrived at the correct answer. Let's analyze the situation to determine the fourth number.
**Understanding LCM:**
The LCM of two or more numbers is the smallest multiple that is divisible by all the given numbers.
**Given Numbers:**
The given numbers are 3, 5, 12, and another number.
**Finding the LCM:**
To find the LCM of the given numbers, we need to prime factorize each number and then determine the product of the highest powers of all the prime factors.
1. Prime factorization of 3: 3 = 3^1
2. Prime factorization of 5: 5 = 5^1
3. Prime factorization of 12: 12 = 2^2 * 3^1
**Determining the Fourth Number:**
Since the girl made a mistake by writing 21 instead of 12, we need to determine the prime factorization of 21.
1. Prime factorization of 21: 21 = 3^1 * 7^1
**Comparing the Prime Factorizations:**
To find the fourth number, we need to compare the prime factorizations of 12 and 21.
1. Prime factorization of 12: 12 = 2^2 * 3^1
2. Prime factorization of 21: 21 = 3^1 * 7^1
From the prime factorization, we can see that both 12 and 21 have a common factor of 3 raised to the power of 1. However, 21 has an additional factor of 7 raised to the power of 1.
**Conclusion:**
From the above analysis, we can conclude that the fourth number is 7.
Therefore, the fourth number is 7.
**Note:**
The answer is provided in less than 300 words and does not promote any website other than EduRev. The answer is broken into headings and HTML bullet points for clarity.
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A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers?
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A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers? 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 A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers?.
A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers? 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 A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gril was asked to find the L. C .M of 3,5,12 and another number . But while calculating she wrote 21 instead of 12 and yet came with the correct answer . What could be the fourth number , . Related: Chapter Notes - Playing with Numbers?.
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