Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 647/78, 317/6059 quickly i.e. 205099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 647/78, 317/6059 is 205099.
LCM(647/78, 317/6059) = 205099
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 647/78,317/6059
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 647,317
Least Common Multiple of Numerators i.e. LCM of 647,317 is 205099.
GCF of Denominators means GCF of 78,6059 as per the given fractions.
GCF of 78,6059 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 647,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 205099
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 647,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,317) x common factors =1 x 1 = 1
LCM(647,317) = ( 647 × 317 ) / 1
LCM(647,317) = 205099 / 1
LCM(647,317) = 205099
Lets's calculate GCF of 78,6059
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205099/1
Therefore the LCM of Fractions 647/78,317/6059 is 205099
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1,73,83,6059
Greatest Common Factor
We found the factors 78,6059 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6059 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 647/78, 317/6059?
Answer: LCM of Numerators as per given numbers 647/78, 317/6059 is
LCM of Numerators i.e. for 647,317 is 205099
GCF of denominators i.e. for 78,6059 is 1.
Thus, LCM of Fractions is 205099.Finally, LCM of Fractions for 647/78, 317/6059 is 205099.