LCM of 6/75, 14/120, 15/200
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 6/75, 14/120, 15/200. Get the simple steps to find LCM of 6/75, 14/120, 15/200 is 14.
LCM(6/75, 14/120, 15/200) = 14
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 6/75, 14/120, 15/200
Given values are 6/75, 14/120, 15/200
LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators
So, LCM of 6/75, 14/120, 15/200 = LCM of (6, 14, 15) /GCF of (75, 120, 200)
The least common multiple of 6, 14, 15 is 210
The GCF of 75, 120, 200 is 15
By substituting these values in the LCM formula
LCM of fractions 6/75, 14/120, 15/200 is 210/15 = 14
Therefore, the lowest common multiple of 6/75, 14/120, 15/200 is 14.
LCM of 6, 14, 15 using Common Division
Given numbers are 6, 14, 15
| 2 | 6, 14, 15 |
| 3 | 3, 7, 15 |
| 5 | 1, 7, 5 |
| 7 | 1, 7, 1 |
| 1, 1, 1 |
So, the Lowest Common Multiple of 6, 14, 15 is 2 x 3 x 5 x 7 = 210.
GCF of 75, 120, 200 with Common Division
Given numbers are 75, 120, 200
There is no common factor between the given numbers
So, the GCF of 75, 120, 200 is 15
Thus, LCM Of 6/75, 14/120, 15/200 = LCM of 6, 14, 15/GCF of 75, 120, 200
= 210/15 = 14
Therefore, the least common multiple of fractions 6/75, 14/120, 15/200 is 14.
FAQs on LCM of Fractions 6/75, 14/120, 15/200
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 6/75, 14/120, 15/200?
The LCM of fractions 6/75, 14/120, 15/200 is 14.