the lcm and hcf of two numbers are same and product equal to 3136
Answers
Formula :- LCM × HCF = PRODUCT OF TWO NUMBERS
X × X = 3136
X^2 = 3136
X^2 = 56^2
Taking square root
X = 56
Hence LCM = HCF = 56
The given question is the LCM and HCF of the two numbers are the same and the product is equal to 3136.
The data given in the question is
Product of 2 numbers is 3136
we have to find the LCM and HCF of the numbers
Solution:
The two numbers' HCF is 56.
We have the product of two numbers and their HCF, LCM is the same.
Let the equal values of the numbers HCF, LCM be X.
We can take the product of two numbers, and we will get the product of the LCM and HCF numbers.
Using the values,
HCF×LCM=product of two numbers.
Here, the product of two numbers is given as 3136.
So, HCF=LCM=56
Therefore, the two numbers' HCF is 56.
let's verify the answer
hence verified.
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