Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4518/426, 8893/309 quickly i.e. 13392858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4518/426, 8893/309 is 13392858.
LCM(4518/426, 8893/309) = 13392858
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4518/426,8893/309
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 4518,8893
Least Common Multiple of Numerators i.e. LCM of 4518,8893 is 40178574.
GCF of Denominators means GCF of 426,309 as per the given fractions.
GCF of 426,309 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4518,8893
Given numbers has no common factors except 1. So, there LCM is their product i.e 40178574
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 4518,8893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4518,8893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4518,8893) x common factors =1 x 1 = 1
LCM(4518,8893) = ( 4518 × 8893 ) / 1
LCM(4518,8893) = 40178574 / 1
LCM(4518,8893) = 40178574
Lets's calculate GCF of 426,309
3 | 426, 309 |
142, 103 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40178574/3
Therefore the LCM of Fractions 4518/426,8893/309 is 13392858
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 426,309 . The biggest common factor number is the GCF number.
So the greatest common factor 426,309 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 4518/426, 8893/309?
Answer: LCM of Numerators as per given numbers 4518/426, 8893/309 is
LCM of Numerators i.e. for 4518,8893 is 40178574
GCF of denominators i.e. for 426,309 is 3.
Thus, LCM of Fractions is 13392858.Finally, LCM of Fractions for 4518/426, 8893/309 is 13392858.