Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4069/778, 7193/6948 quickly i.e. 29268317/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4069/778, 7193/6948 is 29268317/2.
LCM(4069/778, 7193/6948) = 29268317/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4069/778,7193/6948
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 4069,7193
Least Common Multiple of Numerators i.e. LCM of 4069,7193 is 29268317.
GCF of Denominators means GCF of 778,6948 as per the given fractions.
GCF of 778,6948 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4069,7193
Given numbers has no common factors except 1. So, there LCM is their product i.e 29268317
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 4069,7193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4069,7193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4069,7193) x common factors =1 x 1 = 1
LCM(4069,7193) = ( 4069 × 7193 ) / 1
LCM(4069,7193) = 29268317 / 1
LCM(4069,7193) = 29268317
Lets's calculate GCF of 778,6948
2 | 778, 6948 |
389, 3474 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29268317/2
Therefore the LCM of Fractions 4069/778,7193/6948 is 29268317/2
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 6948
List of positive integer factors of 6948 that divides 6948 without a remainder.
1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948
Greatest Common Factor
We found the factors 778,6948 . The biggest common factor number is the GCF number.
So the greatest common factor 778,6948 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 4069/778, 7193/6948?
Answer: LCM of Numerators as per given numbers 4069/778, 7193/6948 is
LCM of Numerators i.e. for 4069,7193 is 29268317
GCF of denominators i.e. for 778,6948 is 2.
Thus, LCM of Fractions is 29268317/2.Finally, LCM of Fractions for 4069/778, 7193/6948 is 29268317/2.