Lowest Common Denominator (LCD) of 1/6 and 5/23

So you wanna find the lowest common denominator of 1/6 and 5/23? 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 1/6 and 5/23 is 138. In fraction form it's 1/138.

LCD(1/6, 5/23) = 138

In fraction form:

1 / 138

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 1 and 5, while our denominators are 6 and 23.

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 6 and 23:

  • Factors for 6: 1, 2, 3, and 6
  • Factors for 23: 1 and 23

Since there are no common factors in 6 and 23, the easiest way to get the lowest common denominator is to multiply them:

6 x 23 = 138

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 1 and 5.

  • Factors for 1: 1
  • Factors for 5: 1 and 5

As we can see, the greatest common factor between the numerators is 1, so this becomes our numerator in the fraction:

1 / 138

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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  • "Lowest Common Denominator (LCD) of 1/6 and 5/23". VisualFractions.com. Accessed on March 1, 2021. https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-5-23/.

  • "Lowest Common Denominator (LCD) of 1/6 and 5/23". VisualFractions.com, https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-5-23/. Accessed 1 March, 2021.

  • Lowest Common Denominator (LCD) of 1/6 and 5/23. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-5-23/.