Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3172/876, 6164/3855 quickly i.e. 4888052/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3172/876, 6164/3855 is 4888052/3.
LCM(3172/876, 6164/3855) = 4888052/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3172/876,6164/3855
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3172,6164
Least Common Multiple of Numerators i.e. LCM of 3172,6164 is 4888052.
GCF of Denominators means GCF of 876,3855 as per the given fractions.
GCF of 876,3855 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3172,6164
2 | 3172, 6164 |
2 | 1586, 3082 |
793, 1541 |
∴ So the LCM of the given numbers is 2 x 2 x 793 x 1541 = 4888052
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3172,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3172,6164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3172,6164) x common factors =4 x 1 = 4
LCM(3172,6164) = ( 3172 × 6164 ) / 4
LCM(3172,6164) = 19552208 / 4
LCM(3172,6164) = 4888052
Lets's calculate GCF of 876,3855
3 | 876, 3855 |
292, 1285 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4888052/3
Therefore the LCM of Fractions 3172/876,6164/3855 is 4888052/3
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 3855
List of positive integer factors of 3855 that divides 3855 without a remainder.
1,3,5,15,257,771,1285,3855
Greatest Common Factor
We found the factors 876,3855 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3855 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3172/876, 6164/3855?
Answer: LCM of Numerators as per given numbers 3172/876, 6164/3855 is
LCM of Numerators i.e. for 3172,6164 is 4888052
GCF of denominators i.e. for 876,3855 is 3.
Thus, LCM of Fractions is 4888052/3.Finally, LCM of Fractions for 3172/876, 6164/3855 is 4888052/3.