Question

1/5+1/10+1/30 find lcm

Answer 1

We have:

$\dfrac{1}{5} +\dfrac{1}{10} +\dfrac{1}{30}$

We have to find, the value of $\dfrac{1}{5} +\dfrac{1}{10} +\dfrac{1}{30}$ is:

Solution:

∴ $\dfrac{1}{5} +\dfrac{1}{10} +\dfrac{1}{30}$

The factor of 5: 1, 5

The factor of 10: 1, 2, 5

The factor of 30: 1, 2, 3, 5

∴ LCM of 5, 10 and 30 = 1 × 2 × 3 × 5 = 30

$\dfrac{1}{5} +\dfrac{1}{10} +\dfrac{1}{30}$

$=\dfrac{6+3+1}{30}$

$=\dfrac{10}{30}$

$=\dfrac{1}{3}$

∴ $\dfrac{1}{5} +\dfrac{1}{10} +\dfrac{1}{30}$ $=\dfrac{1}{3}$

Answer 2

Given:

The expression 1/5 + 1/10 + 1/30

To find:

Find lcm

Solution:

From the given information, we have the data as follows.

The expression 1/5 + 1/10 + 1/30

Firstly we will find the lcm of denominators.

The denominators are 5, 10 and 30.

5 = 5 × 1

10 = 5 × 2 × 1

30 = 5 × 3 × 2

Therefore, the lcm of (5, 10, 30) is 30.

Now proceed with the computation of the lcm of 1/5 + 1/10 + 1/30

= 1/5 + 1/10 + 1/30

= 6/30 + 3/30 + 1/30

= (6 + 3 + 1) / 30

= 10/30

= 1/3

Therefore, the lcm of 1/5 + 1/10 + 1/30 is 1/3.