LCM of 45/180, 75/225, 100/270
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 45/180, 75/225, 100/270. Get the simple steps to find LCM of 45/180, 75/225, 100/270 is 180.
LCM(45/180, 75/225, 100/270) = 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 45/180, 75/225, 100/270
Given values are 45/180, 75/225, 100/270
LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators
So, LCM of 45/180, 75/225, 100/270 = LCM of (45, 75, 100) /GCF of (180, 225, 270)
The least common multiple of 45, 75, 100 is 900
The GCF of 180, 225, 270 is 5
By substituting these values in the LCM formula
LCM of fractions 45/180, 75/225, 100/270 is 900/5 = 180
Therefore, the lowest common multiple of 45/180, 75/225, 100/270 is 180.
LCM of 45, 75, 100 using Common Division
Given numbers are 45, 75, 100
| 2 | 45, 75, 100 |
| 2 | 45, 75, 50 |
| 3 | 45, 75, 25 |
| 3 | 15, 25, 25 |
| 5 | 5, 25, 25 |
| 5 | 1, 5, 5 |
| 1, 1, 1 |
So, the Lowest Common Multiple of 45, 75, 100 is 2 x 2 x 3 x 3 x 5 x 5 = 900.
GCF of 180, 225, 270 with Common Division
Given numbers are 180, 225, 270
There is no common factor between the given numbers
So, the GCF of 180, 225, 270 is 5
Thus, LCM Of 45/180, 75/225, 100/270 = LCM of 45, 75, 100/GCF of 180, 225, 270
= 900/5 = 180
Therefore, the least common multiple of fractions 45/180, 75/225, 100/270 is 180.
FAQs on LCM of Fractions 45/180, 75/225, 100/270
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 45/180, 75/225, 100/270?
The LCM of fractions 45/180, 75/225, 100/270 is 180.