Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 268/721, 642/845 quickly i.e. 86028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 268/721, 642/845 is 86028.
LCM(268/721, 642/845) = 86028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 268/721,642/845
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 268,642
Least Common Multiple of Numerators i.e. LCM of 268,642 is 86028.
GCF of Denominators means GCF of 721,845 as per the given fractions.
GCF of 721,845 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 268,642
2 | 268, 642 |
134, 321 |
∴ So the LCM of the given numbers is 2 x 134 x 321 = 86028
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 268,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,642) x common factors =2 x 1 = 2
LCM(268,642) = ( 268 × 642 ) / 2
LCM(268,642) = 172056 / 2
LCM(268,642) = 86028
Lets's calculate GCF of 721,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86028/1
Therefore the LCM of Fractions 268/721,642/845 is 86028
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 721,845 . The biggest common factor number is the GCF number.
So the greatest common factor 721,845 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 268/721, 642/845?
Answer: LCM of Numerators as per given numbers 268/721, 642/845 is
LCM of Numerators i.e. for 268,642 is 86028
GCF of denominators i.e. for 721,845 is 1.
Thus, LCM of Fractions is 86028.Finally, LCM of Fractions for 268/721, 642/845 is 86028.