Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 709/550, 5939/4603 quickly i.e. 4210751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 709/550, 5939/4603 is 4210751.
LCM(709/550, 5939/4603) = 4210751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 709/550,5939/4603
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 709,5939
Least Common Multiple of Numerators i.e. LCM of 709,5939 is 4210751.
GCF of Denominators means GCF of 550,4603 as per the given fractions.
GCF of 550,4603 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 709,5939
Given numbers has no common factors except 1. So, there LCM is their product i.e 4210751
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 709,5939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,5939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,5939) x common factors =1 x 1 = 1
LCM(709,5939) = ( 709 × 5939 ) / 1
LCM(709,5939) = 4210751 / 1
LCM(709,5939) = 4210751
Lets's calculate GCF of 550,4603
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4210751/1
Therefore the LCM of Fractions 709/550,5939/4603 is 4210751
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 4603
List of positive integer factors of 4603 that divides 4603 without a remainder.
1,4603
Greatest Common Factor
We found the factors 550,4603 . The biggest common factor number is the GCF number.
So the greatest common factor 550,4603 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 709/550, 5939/4603?
Answer: LCM of Numerators as per given numbers 709/550, 5939/4603 is
LCM of Numerators i.e. for 709,5939 is 4210751
GCF of denominators i.e. for 550,4603 is 1.
Thus, LCM of Fractions is 4210751.Finally, LCM of Fractions for 709/550, 5939/4603 is 4210751.