Question

14/33,21/22,42/55 ka lcm​

Answer 1

Step-by-step explanation:

Do it in decimals and then try

Answer 2

Given,

14/33,21/22, and 42/55.

To find,

The LCM of 14/33,21/22, and 42/55.

Solution,

The LCM of 14/33,21/22, and 42/55 will be 42/11.

We can easily solve this problem by following the given steps.

Now, to find the LCM of the given fractions first we will need to find the LCM of their denominators.

The LCM of 33, 22, and 55 using the prime factorisation method is 330 ( 2×3×5×11).

Now, we will have to make their denominators the same.

So, we need to multiply 14/33 by (330/33) which is 10, 21/22 by (330/22) which is 15 and 42/55 by (330/55) which is 6.

Now, after multiplying the numerator and denominator by 10, 15 and 6 of the three fractions respectively, we get:

14×10/33×10 = 140/330

21×15/22×15 = 315/330

42×6/55×6 = 252/330

Now, we have to find the LCM of 140/330, 315/330 and 252/330.

Now, to find the LCM of the given fractions first we will need to find the LCM of their numerators as their denominators are the same.

The LCM of 140, 315, and 252 using the prime factorisation method is 1260 ( 2×2×5×7×9).

So, the LCM of the given fractions is 1260/330. We can convert it into the simplest form.

1260÷30/330÷30 = 42/11

Hence, the LCM of 14/33,21/22, and 42/55 is 42/11.