Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9408/778, 5419/822 quickly i.e. 25490976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9408/778, 5419/822 is 25490976.
LCM(9408/778, 5419/822) = 25490976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9408/778,5419/822
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 9408,5419
Least Common Multiple of Numerators i.e. LCM of 9408,5419 is 50981952.
GCF of Denominators means GCF of 778,822 as per the given fractions.
GCF of 778,822 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9408,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 50981952
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 9408,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9408,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9408,5419) x common factors =1 x 1 = 1
LCM(9408,5419) = ( 9408 × 5419 ) / 1
LCM(9408,5419) = 50981952 / 1
LCM(9408,5419) = 50981952
Lets's calculate GCF of 778,822
2 | 778, 822 |
389, 411 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50981952/2
Therefore the LCM of Fractions 9408/778,5419/822 is 25490976
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 778,822 . The biggest common factor number is the GCF number.
So the greatest common factor 778,822 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 9408/778, 5419/822?
Answer: LCM of Numerators as per given numbers 9408/778, 5419/822 is
LCM of Numerators i.e. for 9408,5419 is 50981952
GCF of denominators i.e. for 778,822 is 2.
Thus, LCM of Fractions is 25490976.Finally, LCM of Fractions for 9408/778, 5419/822 is 25490976.