Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/779, 220/645, 317/439 quickly i.e. 2161940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/779, 220/645, 317/439 is 2161940.
LCM(62/779, 220/645, 317/439) = 2161940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/779,220/645,317/439
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 62,220,317
Least Common Multiple of Numerators i.e. LCM of 62,220,317 is 2161940.
GCF of Denominators means GCF of 779,645,439 as per the given fractions.
GCF of 779,645,439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,220,317
2 | 62, 220, 317 |
31, 110, 317 |
∴ So the LCM of the given numbers is 2 x 31 x 110 x 317 = 2161940
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 62,220,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,220,317) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,220,317) x common factors =1 x 2 = 2
LCM(62,220,317) = ( 62 × 220 × 317 ) / 2
LCM(62,220,317) = 4323880 / 2
LCM(62,220,317) = 2161940
Lets's calculate GCF of 779,645,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2161940/1
Therefore the LCM of Fractions 62/779,220/645,317/439 is 2161940
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 779,645,439 . The biggest common factor number is the GCF number.
So the greatest common factor 779,645,439 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 62/779, 220/645, 317/439?
Answer: LCM of Numerators as per given numbers 62/779, 220/645, 317/439 is
LCM of Numerators i.e. for 62,220,317 is 2161940
GCF of denominators i.e. for 779,645,439 is 1.
Thus, LCM of Fractions is 2161940.Finally, LCM of Fractions for 62/779, 220/645, 317/439 is 2161940.