Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 116/340, 6584/8750 quickly i.e. 190936/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 116/340, 6584/8750 is 190936/10.
LCM(116/340, 6584/8750) = 190936/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 116/340,6584/8750
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 116,6584
Least Common Multiple of Numerators i.e. LCM of 116,6584 is 190936.
GCF of Denominators means GCF of 340,8750 as per the given fractions.
GCF of 340,8750 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 116,6584
2 | 116, 6584 |
2 | 58, 3292 |
29, 1646 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 1646 = 190936
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 116,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,6584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,6584) x common factors =4 x 1 = 4
LCM(116,6584) = ( 116 × 6584 ) / 4
LCM(116,6584) = 763744 / 4
LCM(116,6584) = 190936
Lets's calculate GCF of 340,8750
2 | 340, 8750 |
5 | 170, 4375 |
34, 875 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190936/10
Therefore the LCM of Fractions 116/340,6584/8750 is 190936/10
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 8750
List of positive integer factors of 8750 that divides 8750 without a remainder.
1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750
Greatest Common Factor
We found the factors 340,8750 . The biggest common factor number is the GCF number.
So the greatest common factor 340,8750 is 10.
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 116/340, 6584/8750?
Answer: LCM of Numerators as per given numbers 116/340, 6584/8750 is
LCM of Numerators i.e. for 116,6584 is 190936
GCF of denominators i.e. for 340,8750 is 10.
Thus, LCM of Fractions is 190936/10.Finally, LCM of Fractions for 116/340, 6584/8750 is 190936/10.