Lowest Common Denominator (LCD) of 1/6 and 40/16
So you wanna find the lowest common denominator of 1/6 and 40/16? 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 40/16 is 48. In fraction form it's 1/48.
LCD(1/6, 40/16) = 48
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 40, while our denominators are 6 and 16.
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 16:
- Factors for 6: 1, 2, 3, and 6
- Factors for 16: 1, 2, 4, 8, and 16
Since there are no common factors in 6 and 16, the easiest way to get the lowest common denominator is to multiply them:
6 x 16 = 48
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 40.
- Factors for 1: 1
- Factors for 40: 1, 2, 4, 5, 8, 10, 20, and 40
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!
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"Lowest Common Denominator (LCD) of 1/6 and 40/16". VisualFractions.com. Accessed on February 26, 2021. https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-40-16/.
"Lowest Common Denominator (LCD) of 1/6 and 40/16". VisualFractions.com, https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-40-16/. Accessed 26 February, 2021.
Lowest Common Denominator (LCD) of 1/6 and 40/16. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/lowest-common-denominator/lcd-of-1-6-and-40-16/.