Lowest Common Denominator (LCD) of 1/6 and 31/26
So you wanna find the lowest common denominator of 1/6 and 31/26? 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 31/26 is 78. In fraction form it's 1/78.
LCD(1/6, 31/26) = 78
In fraction form:
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 31, while our denominators are 6 and 26.
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 26:
- Factors for 6: 1, 2, 3, and 6
- Factors for 26: 1, 2, 13, and 26
Since there are no common factors in 6 and 26, the easiest way to get the lowest common denominator is to multiply them:
6 x 26 = 78
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 31.
- Factors for 1: 1
- Factors for 31: 1 and 31
As we can see, the greatest common factor between the numerators is 1, so this becomes our numerator in the fraction:
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!
Cite, Link, or Reference This Page
"Lowest Common Denominator (LCD) of 1/6 and 31/26". VisualFractions.com. Accessed on March 4, 2021. https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-31-26/.
"Lowest Common Denominator (LCD) of 1/6 and 31/26". VisualFractions.com, https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-31-26/. Accessed 4 March, 2021.
Lowest Common Denominator (LCD) of 1/6 and 31/26. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-31-26/.