Math, asked by sojibiju1761, 1 year ago

the lcm and hcf of two numbers are same and product equal to 3136

Answers

Answered by jitendrakapse
3
Let LCM = HCF = X
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

Answered by syed2020ashaels
0

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.

X×X=3136 \\ </p><p></p><p>X^{2}=3136 \\ </p><p></p><p>X=\sqrt{3136} </p><p> = 56

So, HCF=LCM=56

Therefore, the two numbers' HCF is 56.

let's verify the answer

56 \times 56 = 3136 \\ 3136 = 3136 \\ lhs = rhs

hence verified.

# spj2

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