LCM of 54/30, 90/75, 108/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
With the aid of the LCM of Fractions Calculator, you can rapidly get the lowest common multiple of fractions 54/30, 90/75, 108/180. Get the simple steps to find LCM of 54/30, 90/75, 108/180 is 180.
LCM(54/30, 90/75, 108/180) = 180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Method to Find LCM of 54/30, 90/75, 108/180
Given values are 54/30, 90/75, 108/180
LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators
So, LCM of 54/30, 90/75, 108/180 = LCM of (54, 90, 108) /GCF of (30, 75, 180)
The least common multiple of 54, 90, 108 is 540
The GCF of 30, 75, 180 is 3
By substituting these values in the LCM formula
LCM of fractions 54/30, 90/75, 108/180 is 540/3 = 180
Therefore, the lowest common multiple of 54/30, 90/75, 108/180 is 180.
LCM of 54, 90, 108 using Common Division
Given numbers are 54, 90, 108
| 2 | 54, 90, 108 |
| 2 | 27, 45, 54 |
| 3 | 27, 45, 27 |
| 3 | 9, 15, 9 |
| 3 | 3, 5, 3 |
| 5 | 1, 5, 1 |
| 1, 1, 1 |
So, the Lowest Common Multiple of 54, 90, 108 is 2 x 2 x 3 x 3 x 3 x 5 = 540.
GCF of 30, 75, 180 with Common Division
Given numbers are 30, 75, 180
There is no common factor between the given numbers
So, the GCF of 30, 75, 180 is 3
Thus, LCM Of 54/30, 90/75, 108/180 = LCM of 54, 90, 108/GCF of 30, 75, 180
= 540/3 = 180
Therefore, the least common multiple of fractions 54/30, 90/75, 108/180 is 180.
FAQs on LCM of Fractions 54/30, 90/75, 108/180
1. What is the formula used to calculate lcm of fractions?
The formula used to find the LCM Of fractions is LCM = LCM of Numerators/GCF of Denominators.
2. What is the LCM of fractions 54/30, 90/75, 108/180?
The LCM of fractions 54/30, 90/75, 108/180 is 180.