LCM of 165/245, 180/392, 210/486
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 165/245, 180/392, 210/486. Get the simple steps to find LCM of 165/245, 180/392, 210/486 is 1980.
LCM(165/245, 180/392, 210/486) = 1980
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 165/245, 180/392, 210/486
Given values are 165/245, 180/392, 210/486
LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators
So, LCM of 165/245, 180/392, 210/486 = LCM of (165, 180, 210) /GCF of (245, 392, 486)
The least common multiple of 165, 180, 210 is 13860
The GCF of 245, 392, 486 is 7
By substituting these values in the LCM formula
LCM of fractions 165/245, 180/392, 210/486 is 13860/7 = 1980
Therefore, the lowest common multiple of 165/245, 180/392, 210/486 is 1980.
LCM of 165, 180, 210 using Common Division
Given numbers are 165, 180, 210
| 2 | 165, 180, 210 |
| 2 | 165, 90, 105 |
| 3 | 165, 45, 105 |
| 3 | 55, 15, 35 |
| 5 | 55, 5, 35 |
| 7 | 11, 1, 7 |
| 11 | 11, 1, 1 |
| 1, 1, 1 |
So, the Lowest Common Multiple of 165, 180, 210 is 2 x 2 x 3 x 3 x 5 x 7 x 11 = 13860.
GCF of 245, 392, 486 with Common Division
Given numbers are 245, 392, 486
There is no common factor between the given numbers
So, the GCF of 245, 392, 486 is 7
Thus, LCM Of 165/245, 180/392, 210/486 = LCM of 165, 180, 210/GCF of 245, 392, 486
= 13860/7 = 1980
Therefore, the least common multiple of fractions 165/245, 180/392, 210/486 is 1980.
FAQs on LCM of Fractions 165/245, 180/392, 210/486
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 165/245, 180/392, 210/486?
The LCM of fractions 165/245, 180/392, 210/486 is 1980.