Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/940, 656/478, 615/989 quickly i.e. 68880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/940, 656/478, 615/989 is 68880.
LCM(28/940, 656/478, 615/989) = 68880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/940,656/478,615/989
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 28,656,615
Least Common Multiple of Numerators i.e. LCM of 28,656,615 is 68880.
GCF of Denominators means GCF of 940,478,989 as per the given fractions.
GCF of 940,478,989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,656,615
2 | 28, 656, 615 |
2 | 14, 328, 615 |
41 | 7, 164, 615 |
7, 4, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 7 x 4 x 15 = 68880
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 28,656,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,656,615) = 1
common factors(in case of two or more numbers have common factors) = 164
GCF(28,656,615) x common factors =1 x 164 = 164
LCM(28,656,615) = ( 28 × 656 × 615 ) / 164
LCM(28,656,615) = 11296320 / 164
LCM(28,656,615) = 68880
Lets's calculate GCF of 940,478,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68880/1
Therefore the LCM of Fractions 28/940,656/478,615/989 is 68880
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 940,478,989 . The biggest common factor number is the GCF number.
So the greatest common factor 940,478,989 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 28/940, 656/478, 615/989?
Answer: LCM of Numerators as per given numbers 28/940, 656/478, 615/989 is
LCM of Numerators i.e. for 28,656,615 is 68880
GCF of denominators i.e. for 940,478,989 is 1.
Thus, LCM of Fractions is 68880.Finally, LCM of Fractions for 28/940, 656/478, 615/989 is 68880.