Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5618/786, 8614/131 quickly i.e. 24196726/131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5618/786, 8614/131 is 24196726/131.
LCM(5618/786, 8614/131) = 24196726/131
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5618/786,8614/131
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 5618,8614
Least Common Multiple of Numerators i.e. LCM of 5618,8614 is 24196726.
GCF of Denominators means GCF of 786,131 as per the given fractions.
GCF of 786,131 is 131 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5618,8614
2 | 5618, 8614 |
2809, 4307 |
∴ So the LCM of the given numbers is 2 x 2809 x 4307 = 24196726
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 5618,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5618,8614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5618,8614) x common factors =2 x 1 = 2
LCM(5618,8614) = ( 5618 × 8614 ) / 2
LCM(5618,8614) = 48393452 / 2
LCM(5618,8614) = 24196726
Lets's calculate GCF of 786,131
131 | 786, 131 |
6, 1 |
∴ So the GCF of the given numbers is 131 = 131
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24196726/131
Therefore the LCM of Fractions 5618/786,8614/131 is 24196726/131
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 786,131 . The biggest common factor number is the GCF number.
So the greatest common factor 786,131 is 131.
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 5618/786, 8614/131?
Answer: LCM of Numerators as per given numbers 5618/786, 8614/131 is
LCM of Numerators i.e. for 5618,8614 is 24196726
GCF of denominators i.e. for 786,131 is 131.
Thus, LCM of Fractions is 24196726/131.Finally, LCM of Fractions for 5618/786, 8614/131 is 24196726/131.