Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5656/778, 2873/6842 quickly i.e. 8124844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5656/778, 2873/6842 is 8124844.
LCM(5656/778, 2873/6842) = 8124844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5656/778,2873/6842
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 5656,2873
Least Common Multiple of Numerators i.e. LCM of 5656,2873 is 16249688.
GCF of Denominators means GCF of 778,6842 as per the given fractions.
GCF of 778,6842 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5656,2873
Given numbers has no common factors except 1. So, there LCM is their product i.e 16249688
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 5656,2873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5656,2873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5656,2873) x common factors =1 x 1 = 1
LCM(5656,2873) = ( 5656 × 2873 ) / 1
LCM(5656,2873) = 16249688 / 1
LCM(5656,2873) = 16249688
Lets's calculate GCF of 778,6842
2 | 778, 6842 |
389, 3421 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16249688/2
Therefore the LCM of Fractions 5656/778,2873/6842 is 8124844
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 6842
List of positive integer factors of 6842 that divides 6842 without a remainder.
1,2,11,22,311,622,3421,6842
Greatest Common Factor
We found the factors 778,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 778,6842 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 5656/778, 2873/6842?
Answer: LCM of Numerators as per given numbers 5656/778, 2873/6842 is
LCM of Numerators i.e. for 5656,2873 is 16249688
GCF of denominators i.e. for 778,6842 is 2.
Thus, LCM of Fractions is 8124844.Finally, LCM of Fractions for 5656/778, 2873/6842 is 8124844.