Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 268/45, 910/2712 quickly i.e. 121940/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 268/45, 910/2712 is 121940/3.
LCM(268/45, 910/2712) = 121940/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 268/45,910/2712
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 268,910
Least Common Multiple of Numerators i.e. LCM of 268,910 is 121940.
GCF of Denominators means GCF of 45,2712 as per the given fractions.
GCF of 45,2712 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 268,910
2 | 268, 910 |
134, 455 |
∴ So the LCM of the given numbers is 2 x 134 x 455 = 121940
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 268,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,910) x common factors =2 x 1 = 2
LCM(268,910) = ( 268 × 910 ) / 2
LCM(268,910) = 243880 / 2
LCM(268,910) = 121940
Lets's calculate GCF of 45,2712
3 | 45, 2712 |
15, 904 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121940/3
Therefore the LCM of Fractions 268/45,910/2712 is 121940/3
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 2712
List of positive integer factors of 2712 that divides 2712 without a remainder.
1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Greatest Common Factor
We found the factors 45,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2712 is 3.
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 268/45, 910/2712?
Answer: LCM of Numerators as per given numbers 268/45, 910/2712 is
LCM of Numerators i.e. for 268,910 is 121940
GCF of denominators i.e. for 45,2712 is 3.
Thus, LCM of Fractions is 121940/3.Finally, LCM of Fractions for 268/45, 910/2712 is 121940/3.