Lowest Common Denominator (LCD) of 68/68 and 34/53

So you wanna find the lowest common denominator of 68/68 and 34/53? Lucky for you that's exactly what this page is here to help you with! In this quick guide, we'll walk you through how to calculate the lowest common denominator for any fractions you need to check. Here we go!

In a rush and just want the answer? No worries! The LCD of 68/68 and 34/53 is 3604. In fraction form it's 1/106.

LCD(68/68, 34/53) = 3604

In fraction form:

Which can be simplified further to:

Read on to find out how we worked that out!

As we always do in these articles, it's worth a very quick recap on fraction terminology. The number above the line is called the numerator and the number about the line is called the denominator. So, in this example, our numerators are 68 and 34, while our denominators are 68 and 53.

What is the Lowest Common Denominator?

To calculate the lowest common denominator, the easiest way is to look at the factors of those numbers and find the lowest common multiple. Here's how that looks for 68 and 53:

• Factors for 68: 1, 2, 4, 17, 34, and 68
• Factors for 53: 1 and 53

Since there are no common factors in 68 and 53, the easiest way to get the lowest common denominator is to multiply them:

68 x 53 = 3604

The next step is to calculate the numerator and complete our fraction. To do this, we need to find the greatest common factor of the numerators, which are 68 and 34.

• Factors for 68: 1, 2, 4, 17, 34, and 68
• Factors for 34: 1, 2, 17, and 34

As we can see, the greatest common factor between the numerators is 34, so this becomes our numerator in the fraction:

We can simplify this fraction down even further and reduce it to the following:

Hopefully this article has helped you to understand how to calculate the lowest common denominator of two fractions. Isn't math fun? If you want to challenge yourself, try to work out the least common denominator of some fractions by yourself and use our LCD calculator to check your answers!

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