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The LCM and HCF of two numbers are 126 and 9, respectively. If one of the numbers is 18, then what is the other number?
- a)63
- b)36
- c)84
- d)24
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The LCM and HCF of two numbers are 126 and 9, respectively. If one of ...
Given:
LCM = 126
HCF = 9
Concept used:
LCM = Lowest Common Factor
It is the product of the greatest power of each prime factor, involved in the numbers.
LCM × HCF = Product of two numbers
HCF = Highest Common Factor
It is the product of the smallest power of each common prime factor in the numbers.
Solution:
Let, the other number = m
126 x 9 = 18 x m
m = (126 x 9)/18
m = 63
Other number = 63
Hence, the correct option is 1.
LCM = 126
HCF = 9
Concept used:
LCM = Lowest Common Factor
It is the product of the greatest power of each prime factor, involved in the numbers.
LCM × HCF = Product of two numbers
HCF = Highest Common Factor
It is the product of the smallest power of each common prime factor in the numbers.
Solution:
Let, the other number = m
126 x 9 = 18 x m
m = (126 x 9)/18
m = 63
Other number = 63
Hence, the correct option is 1.
Most Upvoted Answer
The LCM and HCF of two numbers are 126 and 9, respectively. If one of ...
To find the other number, we need to use the relationship between the LCM (Least Common Multiple) and HCF (Highest Common Factor) of two numbers.
Given:
LCM = 126
HCF = 9
One of the numbers = 18
We can write the relationship between the LCM and HCF as:
LCM × HCF = Product of the two numbers
Let the other number be x.
So, we have:
126 × 9 = 18 × x
Simplifying the equation:
1134 = 18x
Dividing both sides by 18:
x = 1134 / 18
x = 63
Therefore, the other number is 63.
Explanation:
The LCM of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM is 126.
The HCF of two numbers is the largest factor that divides both numbers. In this case, the HCF is 9.
We are given that one of the numbers is 18.
Using the relationship between the LCM and HCF, we can write the equation: LCM × HCF = Product of the two numbers.
Substituting the given values, we get: 126 × 9 = 18 × x.
Simplifying the equation, we find: 1134 = 18x.
Dividing both sides by 18, we find: x = 1134 / 18 = 63.
Therefore, the other number is 63.
Given:
LCM = 126
HCF = 9
One of the numbers = 18
We can write the relationship between the LCM and HCF as:
LCM × HCF = Product of the two numbers
Let the other number be x.
So, we have:
126 × 9 = 18 × x
Simplifying the equation:
1134 = 18x
Dividing both sides by 18:
x = 1134 / 18
x = 63
Therefore, the other number is 63.
Explanation:
The LCM of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM is 126.
The HCF of two numbers is the largest factor that divides both numbers. In this case, the HCF is 9.
We are given that one of the numbers is 18.
Using the relationship between the LCM and HCF, we can write the equation: LCM × HCF = Product of the two numbers.
Substituting the given values, we get: 126 × 9 = 18 × x.
Simplifying the equation, we find: 1134 = 18x.
Dividing both sides by 18, we find: x = 1134 / 18 = 63.
Therefore, the other number is 63.
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The LCM and HCF of two numbers are 126 and 9, respectively. If one of the numbers is 18, then what is the other number?a)63b)36c)84d)24Correct answer is option 'A'. Can you explain this answer?
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