Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 614/850, 5111/779 quickly i.e. 3138154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 614/850, 5111/779 is 3138154.
LCM(614/850, 5111/779) = 3138154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 614/850,5111/779
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 614,5111
Least Common Multiple of Numerators i.e. LCM of 614,5111 is 3138154.
GCF of Denominators means GCF of 850,779 as per the given fractions.
GCF of 850,779 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 614,5111
Given numbers has no common factors except 1. So, there LCM is their product i.e 3138154
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 614,5111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,5111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,5111) x common factors =1 x 1 = 1
LCM(614,5111) = ( 614 × 5111 ) / 1
LCM(614,5111) = 3138154 / 1
LCM(614,5111) = 3138154
Lets's calculate GCF of 850,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3138154/1
Therefore the LCM of Fractions 614/850,5111/779 is 3138154
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 850,779 . The biggest common factor number is the GCF number.
So the greatest common factor 850,779 is 1.
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 614/850, 5111/779?
Answer: LCM of Numerators as per given numbers 614/850, 5111/779 is
LCM of Numerators i.e. for 614,5111 is 3138154
GCF of denominators i.e. for 850,779 is 1.
Thus, LCM of Fractions is 3138154.Finally, LCM of Fractions for 614/850, 5111/779 is 3138154.