Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 242/10, 892/8518 quickly i.e. 53966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 242/10, 892/8518 is 53966.
LCM(242/10, 892/8518) = 53966
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 242/10,892/8518
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 242,892
Least Common Multiple of Numerators i.e. LCM of 242,892 is 107932.
GCF of Denominators means GCF of 10,8518 as per the given fractions.
GCF of 10,8518 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 242,892
2 | 242, 892 |
121, 446 |
∴ So the LCM of the given numbers is 2 x 121 x 446 = 107932
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 242,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,892) x common factors =2 x 1 = 2
LCM(242,892) = ( 242 × 892 ) / 2
LCM(242,892) = 215864 / 2
LCM(242,892) = 107932
Lets's calculate GCF of 10,8518
2 | 10, 8518 |
5, 4259 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107932/2
Therefore the LCM of Fractions 242/10,892/8518 is 53966
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 8518
List of positive integer factors of 8518 that divides 8518 without a remainder.
1,2,4259,8518
Greatest Common Factor
We found the factors 10,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 10,8518 is 2.
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 242/10, 892/8518?
Answer: LCM of Numerators as per given numbers 242/10, 892/8518 is
LCM of Numerators i.e. for 242,892 is 107932
GCF of denominators i.e. for 10,8518 is 2.
Thus, LCM of Fractions is 53966.Finally, LCM of Fractions for 242/10, 892/8518 is 53966.