LCM of 72/36, 180/45, 252/60
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 72/36, 180/45, 252/60. Get the simple steps to find LCM of 72/36, 180/45, 252/60 is 280.
LCM(72/36, 180/45, 252/60) = 280
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 72/36, 180/45, 252/60
Given values are 72/36, 180/45, 252/60
LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators
So, LCM of 72/36, 180/45, 252/60 = LCM of (72, 180, 252) /GCF of (36, 45, 60)
The least common multiple of 72, 180, 252 is 2520
The GCF of 36, 45, 60 is 9
By substituting these values in the LCM formula
LCM of fractions 72/36, 180/45, 252/60 is 2520/9 = 280
Therefore, the lowest common multiple of 72/36, 180/45, 252/60 is 280.
LCM of 72, 180, 252 using Common Division
Given numbers are 72, 180, 252
| 2 | 72, 180, 252 |
| 2 | 36, 90, 126 |
| 2 | 18, 45, 63 |
| 3 | 9, 45, 63 |
| 3 | 3, 15, 21 |
| 5 | 1, 5, 7 |
| 7 | 1, 1, 7 |
| 1, 1, 1 |
So, the Lowest Common Multiple of 72, 180, 252 is 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520.
GCF of 36, 45, 60 with Common Division
Given numbers are 36, 45, 60
There is no common factor between the given numbers
So, the GCF of 36, 45, 60 is 9
Thus, LCM Of 72/36, 180/45, 252/60 = LCM of 72, 180, 252/GCF of 36, 45, 60
= 2520/9 = 280
Therefore, the least common multiple of fractions 72/36, 180/45, 252/60 is 280.
FAQs on LCM of Fractions 72/36, 180/45, 252/60
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 72/36, 180/45, 252/60?
The LCM of fractions 72/36, 180/45, 252/60 is 280.