Question

three number are in the ratio of 2:5:7 and their LCM is 490 find the numbers

Answer 1

Answer:

$2\sqrt[n]{7}, 5\sqrt[n]{7},7\sqrt[n]{7}$

Step-by-step explanation:

Given : Three number are in the ratio of 2:5:7 and their LCM is 490.

To find : The numbers ?

Solution :

Let the ratio be'x'.

The numbers became 2x, 5x and 7x.

As LCM is the least common multiple and given number have no common factor as their product is the LCM.

So, $2x\times 5x\times 7x=490$

$70x^3=490$

$x^3=\frac{490}{70}$

$x^3=7$

$x=\sqrt[n]{7}$

$x=\sqrt[n]{7}$

Then the numbers became,

$2x=2\sqrt[n]{7}$

$5x=5\sqrt[n]{7}$

$7x=7\sqrt[n]{7}$

Answer 2

Answer:

49 is largest root number.

49 is square number of 7