Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/615, 9653/4280 quickly i.e. 115836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/615, 9653/4280 is 115836.
LCM(60/615, 9653/4280) = 115836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/615,9653/4280
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 60,9653
Least Common Multiple of Numerators i.e. LCM of 60,9653 is 579180.
GCF of Denominators means GCF of 615,4280 as per the given fractions.
GCF of 615,4280 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,9653
Given numbers has no common factors except 1. So, there LCM is their product i.e 579180
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 60,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,9653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,9653) x common factors =1 x 1 = 1
LCM(60,9653) = ( 60 × 9653 ) / 1
LCM(60,9653) = 579180 / 1
LCM(60,9653) = 579180
Lets's calculate GCF of 615,4280
5 | 615, 4280 |
123, 856 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579180/5
Therefore the LCM of Fractions 60/615,9653/4280 is 115836
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 4280
List of positive integer factors of 4280 that divides 4280 without a remainder.
1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280
Greatest Common Factor
We found the factors 615,4280 . The biggest common factor number is the GCF number.
So the greatest common factor 615,4280 is 5.
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 60/615, 9653/4280?
Answer: LCM of Numerators as per given numbers 60/615, 9653/4280 is
LCM of Numerators i.e. for 60,9653 is 579180
GCF of denominators i.e. for 615,4280 is 5.
Thus, LCM of Fractions is 115836.Finally, LCM of Fractions for 60/615, 9653/4280 is 115836.