Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 309/756, 1154/589 quickly i.e. 356586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 309/756, 1154/589 is 356586.
LCM(309/756, 1154/589) = 356586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 309/756,1154/589
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 309,1154
Least Common Multiple of Numerators i.e. LCM of 309,1154 is 356586.
GCF of Denominators means GCF of 756,589 as per the given fractions.
GCF of 756,589 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 309,1154
Given numbers has no common factors except 1. So, there LCM is their product i.e 356586
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 309,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,1154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,1154) x common factors =1 x 1 = 1
LCM(309,1154) = ( 309 × 1154 ) / 1
LCM(309,1154) = 356586 / 1
LCM(309,1154) = 356586
Lets's calculate GCF of 756,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356586/1
Therefore the LCM of Fractions 309/756,1154/589 is 356586
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 756,589 . The biggest common factor number is the GCF number.
So the greatest common factor 756,589 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 309/756, 1154/589?
Answer: LCM of Numerators as per given numbers 309/756, 1154/589 is
LCM of Numerators i.e. for 309,1154 is 356586
GCF of denominators i.e. for 756,589 is 1.
Thus, LCM of Fractions is 356586.Finally, LCM of Fractions for 309/756, 1154/589 is 356586.