The HCF of two numbers is 123 and their LCM is 9471 if one of the number is 861 find the other
Answers
The HCF and LCM of two numbers is 123 and 9471 respectively.
One of the number is 861.
We have to find, The other number.
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☯ Let the another number be b.
Here,
- HCF = 123
- LCM = 9471
- one number = 861
We know that,
★ LCM × HCF = Product of two number
Putting values,
➯ 9471 × 123 = 861 × b
➯ 1164933 = 861 × b
➯ b = 1353
∴ The other number is 1353.
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★ More to know:
- HCF (Highest common factor) = Highest factor present between two numbers.
- LCM (least common multiple) = Least number which is exactly divisible by two or more numbers.
Question :-
the HCF of two numbers is 123 and their LCM is 9471 if one number is 861 find the other ?
Solution :-
Given ;
- the LCM and HCF of two number is 9471 and 123
- one number is 861 .
What we have to find here ?
=> we are going to find the other number .
So,
Let the other number be "x" .
According to the question ,
To find the value of the other no. formula to be used is ;
LCM × HCF = PRODUCT OF TWO NUMBERS .
Now,
substituting the values in the place ;
9471×123=186× x
=> 1164933 = 186 ×x
=> x=1164933/186
=> x=1353
Hence , the other number is 1353 .