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how can find we can do LCM or HCF in word problem Related: NCERT Solu...
If the question is asking about smallest number, then do L.C.M. and if the questoin is about the greatest number, do H.C.M.
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how can find we can do LCM or HCF in word problem Related: NCERT Solu...
Finding LCM or HCF in Word Problems
When solving word problems that involve finding the least common multiple (LCM) or highest common factor (HCF), there are certain steps to follow. Here's a guide on how to find LCM or HCF in word problems:
1. Read the Problem Carefully
Read the problem carefully to identify the numbers given and what is being asked. Make sure to understand the problem before attempting to solve it.
2. Identify the Numbers
Identify the numbers given in the problem. Make a list of these numbers as they will be needed to find the LCM or HCF.
3. Find the LCM
To find the LCM, list the multiples of each number until you find a multiple that is common to all the numbers. The smallest common multiple is the LCM.
4. Find the HCF
To find the HCF, list the factors of each number. Identify the common factors of all the numbers and find the greatest common factor. This is the HCF.
5. Check Your Answer
Double-check your answer to ensure that you have found the correct LCM or HCF.
Example Word Problem:
Find the LCM and HCF of 12 and 18.
Solution:
1. Read the problem carefully.
We are asked to find the LCM and HCF of two numbers: 12 and 18.
2. Identify the Numbers.
The numbers given are 12 and 18.
3. Find the LCM.
Multiples of 12: 12, 24, 36, 48, 60
Multiples of 18: 18, 36, 54, 72, 90
The smallest common multiple is 36. Therefore, the LCM of 12 and 18 is 36.
4. Find the HCF.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
The common factors are 1, 2, 3, and 6. The greatest common factor is 6. Therefore, the HCF of 12 and 18 is 6.
5. Check Your Answer.
We can check our answer by verifying that 36 is a multiple of both 12 and 18, and that 6 is a factor of both 12 and 18.
In conclusion, by carefully reading the problem, identifying the numbers, finding the LCM and HCF, and checking the answer, we can solve word problems that involve LCM and HCF.
When solving word problems that involve finding the least common multiple (LCM) or highest common factor (HCF), there are certain steps to follow. Here's a guide on how to find LCM or HCF in word problems:
1. Read the Problem Carefully
Read the problem carefully to identify the numbers given and what is being asked. Make sure to understand the problem before attempting to solve it.
2. Identify the Numbers
Identify the numbers given in the problem. Make a list of these numbers as they will be needed to find the LCM or HCF.
3. Find the LCM
To find the LCM, list the multiples of each number until you find a multiple that is common to all the numbers. The smallest common multiple is the LCM.
4. Find the HCF
To find the HCF, list the factors of each number. Identify the common factors of all the numbers and find the greatest common factor. This is the HCF.
5. Check Your Answer
Double-check your answer to ensure that you have found the correct LCM or HCF.
Example Word Problem:
Find the LCM and HCF of 12 and 18.
Solution:
1. Read the problem carefully.
We are asked to find the LCM and HCF of two numbers: 12 and 18.
2. Identify the Numbers.
The numbers given are 12 and 18.
3. Find the LCM.
Multiples of 12: 12, 24, 36, 48, 60
Multiples of 18: 18, 36, 54, 72, 90
The smallest common multiple is 36. Therefore, the LCM of 12 and 18 is 36.
4. Find the HCF.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
The common factors are 1, 2, 3, and 6. The greatest common factor is 6. Therefore, the HCF of 12 and 18 is 6.
5. Check Your Answer.
We can check our answer by verifying that 36 is a multiple of both 12 and 18, and that 6 is a factor of both 12 and 18.
In conclusion, by carefully reading the problem, identifying the numbers, finding the LCM and HCF, and checking the answer, we can solve word problems that involve LCM and HCF.
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how can find we can do LCM or HCF in word problem Related: NCERT Solutions(Part - 3) - Playing with Numbers?
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