If 6370=2m×5n×7k×13p, then find m+n+k+p
Answers
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 !!!
:)
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.