Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 129/780, 6676/2684 quickly i.e. 215301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 129/780, 6676/2684 is 215301.
LCM(129/780, 6676/2684) = 215301
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 129/780,6676/2684
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 129,6676
Least Common Multiple of Numerators i.e. LCM of 129,6676 is 861204.
GCF of Denominators means GCF of 780,2684 as per the given fractions.
GCF of 780,2684 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 129,6676
Given numbers has no common factors except 1. So, there LCM is their product i.e 861204
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 129,6676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,6676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,6676) x common factors =1 x 1 = 1
LCM(129,6676) = ( 129 × 6676 ) / 1
LCM(129,6676) = 861204 / 1
LCM(129,6676) = 861204
Lets's calculate GCF of 780,2684
2 | 780, 2684 |
2 | 390, 1342 |
195, 671 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 861204/4
Therefore the LCM of Fractions 129/780,6676/2684 is 215301
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 2684
List of positive integer factors of 2684 that divides 2684 without a remainder.
1,2,4,11,22,44,61,122,244,671,1342,2684
Greatest Common Factor
We found the factors 780,2684 . The biggest common factor number is the GCF number.
So the greatest common factor 780,2684 is 4.
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 129/780, 6676/2684?
Answer: LCM of Numerators as per given numbers 129/780, 6676/2684 is
LCM of Numerators i.e. for 129,6676 is 861204
GCF of denominators i.e. for 780,2684 is 4.
Thus, LCM of Fractions is 215301.Finally, LCM of Fractions for 129/780, 6676/2684 is 215301.