Question

If 6370=2m×5n×7k×13p, then find m+n+k+p

Answer 1

Answer: 5

Step-by-step explanation:

by taking LCM of 6370

you will get : 7*7*13*5*2

LCM of 6370 = 7^2 into 13^1 into 5^1 into 2^1

2+1+1+1=5

hope it helps you !!!  

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Answer 2

Given:

6370=2m×5n×7k×13p

To find:

The value of m+n+k+p

Solution:

The value of m+n+k+p is 10.

We can find the value by following the steps given below-

We know that we can find the value of m+n+k+p by factorizing 6370.

The factors of 6370 are as follows-

6370=2×3185

=2×5×637

=2×5×7×91

=2×5×7×13×7

So, 6370=2×5×7×7×13

In the given equation, we can see that it is formed of the same factors.

Now we will compare this with the equation given to us.

6370=2×5×7×7×13

6370=2m×5n×7k×13p

On comparing these two, we get the values

m=1, n=1, k=1, p=7

The value of m+n+k+p can be calculated by putting the values of the variables.

On adding values, we get

m+n+k+p=1+1+1+7=10

m+n+k+p=10

Therefore, the value of m+n+k+p is 10.