Let the other number be x.
Given that the LCM of 56 and x is 84 times their HCF, we have:
LCM (56, x) = 84 * HCF (56, x)
We know that HCF (56, x) = 56 (since 56 is a factor of both numbers)
Now, using the property:
LCM (a, b) * HCF (a, b) = a * b
We can rewrite the equation as:
84 * 56 = 56 * x
Simplifying, we get:
4704 = 56x
Dividing both sides by 56, we get:
x = 4704 / 56
x = 84
Therefore, the other number is 84.
The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times of the HCF.lf one number is 56 ,find the other.
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