Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/793, 75/711, 869/757 quickly i.e. 5344350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/793, 75/711, 869/757 is 5344350.
LCM(82/793, 75/711, 869/757) = 5344350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/793,75/711,869/757
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 82,75,869
Least Common Multiple of Numerators i.e. LCM of 82,75,869 is 5344350.
GCF of Denominators means GCF of 793,711,757 as per the given fractions.
GCF of 793,711,757 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,75,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 5344350
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 82,75,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,75,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,75,869) x common factors =1 x 1 = 1
LCM(82,75,869) = ( 82 × 75 × 869 ) / 1
LCM(82,75,869) = 5344350 / 1
LCM(82,75,869) = 5344350
Lets's calculate GCF of 793,711,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5344350/1
Therefore the LCM of Fractions 82/793,75/711,869/757 is 5344350
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 793,711,757 . The biggest common factor number is the GCF number.
So the greatest common factor 793,711,757 is 1.
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 82/793, 75/711, 869/757?
Answer: LCM of Numerators as per given numbers 82/793, 75/711, 869/757 is
LCM of Numerators i.e. for 82,75,869 is 5344350
GCF of denominators i.e. for 793,711,757 is 1.
Thus, LCM of Fractions is 5344350.Finally, LCM of Fractions for 82/793, 75/711, 869/757 is 5344350.