Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/679, 584/195, 615/134 quickly i.e. 19035480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/679, 584/195, 615/134 is 19035480.
LCM(53/679, 584/195, 615/134) = 19035480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/679,584/195,615/134
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 53,584,615
Least Common Multiple of Numerators i.e. LCM of 53,584,615 is 19035480.
GCF of Denominators means GCF of 679,195,134 as per the given fractions.
GCF of 679,195,134 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,584,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 19035480
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 53,584,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,584,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,584,615) x common factors =1 x 1 = 1
LCM(53,584,615) = ( 53 × 584 × 615 ) / 1
LCM(53,584,615) = 19035480 / 1
LCM(53,584,615) = 19035480
Lets's calculate GCF of 679,195,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19035480/1
Therefore the LCM of Fractions 53/679,584/195,615/134 is 19035480
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 679,195,134 . The biggest common factor number is the GCF number.
So the greatest common factor 679,195,134 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 53/679, 584/195, 615/134?
Answer: LCM of Numerators as per given numbers 53/679, 584/195, 615/134 is
LCM of Numerators i.e. for 53,584,615 is 19035480
GCF of denominators i.e. for 679,195,134 is 1.
Thus, LCM of Fractions is 19035480.Finally, LCM of Fractions for 53/679, 584/195, 615/134 is 19035480.