Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/615, 731/718, 260/621 quickly i.e. 124869420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/615, 731/718, 260/621 is 124869420.
LCM(657/615, 731/718, 260/621) = 124869420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/615,731/718,260/621
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 657,731,260
Least Common Multiple of Numerators i.e. LCM of 657,731,260 is 124869420.
GCF of Denominators means GCF of 615,718,621 as per the given fractions.
GCF of 615,718,621 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,731,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 124869420
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 657,731,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,731,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,731,260) x common factors =1 x 1 = 1
LCM(657,731,260) = ( 657 × 731 × 260 ) / 1
LCM(657,731,260) = 124869420 / 1
LCM(657,731,260) = 124869420
Lets's calculate GCF of 615,718,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124869420/1
Therefore the LCM of Fractions 657/615,731/718,260/621 is 124869420
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 615,718,621 . The biggest common factor number is the GCF number.
So the greatest common factor 615,718,621 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 657/615, 731/718, 260/621?
Answer: LCM of Numerators as per given numbers 657/615, 731/718, 260/621 is
LCM of Numerators i.e. for 657,731,260 is 124869420
GCF of denominators i.e. for 615,718,621 is 1.
Thus, LCM of Fractions is 124869420.Finally, LCM of Fractions for 657/615, 731/718, 260/621 is 124869420.