Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6172/530, 2965/857 quickly i.e. 18299980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6172/530, 2965/857 is 18299980.
LCM(6172/530, 2965/857) = 18299980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6172/530,2965/857
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 6172,2965
Least Common Multiple of Numerators i.e. LCM of 6172,2965 is 18299980.
GCF of Denominators means GCF of 530,857 as per the given fractions.
GCF of 530,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6172,2965
Given numbers has no common factors except 1. So, there LCM is their product i.e 18299980
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 6172,2965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6172,2965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6172,2965) x common factors =1 x 1 = 1
LCM(6172,2965) = ( 6172 × 2965 ) / 1
LCM(6172,2965) = 18299980 / 1
LCM(6172,2965) = 18299980
Lets's calculate GCF of 530,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18299980/1
Therefore the LCM of Fractions 6172/530,2965/857 is 18299980
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 530,857 . The biggest common factor number is the GCF number.
So the greatest common factor 530,857 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 6172/530, 2965/857?
Answer: LCM of Numerators as per given numbers 6172/530, 2965/857 is
LCM of Numerators i.e. for 6172,2965 is 18299980
GCF of denominators i.e. for 530,857 is 1.
Thus, LCM of Fractions is 18299980.Finally, LCM of Fractions for 6172/530, 2965/857 is 18299980.