Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2444/778, 3057/1912 quickly i.e. 3735654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2444/778, 3057/1912 is 3735654.
LCM(2444/778, 3057/1912) = 3735654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2444/778,3057/1912
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 2444,3057
Least Common Multiple of Numerators i.e. LCM of 2444,3057 is 7471308.
GCF of Denominators means GCF of 778,1912 as per the given fractions.
GCF of 778,1912 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2444,3057
Given numbers has no common factors except 1. So, there LCM is their product i.e 7471308
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 2444,3057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2444,3057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2444,3057) x common factors =1 x 1 = 1
LCM(2444,3057) = ( 2444 × 3057 ) / 1
LCM(2444,3057) = 7471308 / 1
LCM(2444,3057) = 7471308
Lets's calculate GCF of 778,1912
2 | 778, 1912 |
389, 956 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7471308/2
Therefore the LCM of Fractions 2444/778,3057/1912 is 3735654
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 1912
List of positive integer factors of 1912 that divides 1912 without a remainder.
1,2,4,8,239,478,956,1912
Greatest Common Factor
We found the factors 778,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 778,1912 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 2444/778, 3057/1912?
Answer: LCM of Numerators as per given numbers 2444/778, 3057/1912 is
LCM of Numerators i.e. for 2444,3057 is 7471308
GCF of denominators i.e. for 778,1912 is 2.
Thus, LCM of Fractions is 3735654.Finally, LCM of Fractions for 2444/778, 3057/1912 is 3735654.