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If the product of the LCM and HCF is 28125 and one of the number is 125 , find the other number?
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If the product of the LCM and HCF is 28125 and one of the number is 12...
- Given information:
The product of the LCM and HCF is 28125.
One of the numbers is 125.
- Calculating the LCM and HCF:
Let the other number be x.
Since the product of the LCM and HCF is given as 28125, we can write:
LCM * HCF = 28125
LCM (125, x) * HCF (125, x) = 28125
LCM (125, x) * 125 = 28125
LCM (125, x) = 28125 / 125
LCM (125, x) = 225
Now, we can calculate the HCF using the formula:
LCM (125, x) * HCF (125, x) = 125 * x
225 * HCF (125, x) = 125 * x
HCF (125, x) = 125x / 225
- Finding the other number:
Since one of the numbers is 125, let's substitute this into the equation:
HCF (125, x) = 125x / 225
125 = 125x / 225
x = 125 * 225 / 125
x = 225
- Conclusion:
The other number is 225.
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If the product of the LCM and HCF is 28125 and one of the number is 125 , find the other number?
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