Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 703/500, 5672/9809 quickly i.e. 3987416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 703/500, 5672/9809 is 3987416.
LCM(703/500, 5672/9809) = 3987416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 703/500,5672/9809
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 703,5672
Least Common Multiple of Numerators i.e. LCM of 703,5672 is 3987416.
GCF of Denominators means GCF of 500,9809 as per the given fractions.
GCF of 500,9809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 703,5672
Given numbers has no common factors except 1. So, there LCM is their product i.e 3987416
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 703,5672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,5672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,5672) x common factors =1 x 1 = 1
LCM(703,5672) = ( 703 × 5672 ) / 1
LCM(703,5672) = 3987416 / 1
LCM(703,5672) = 3987416
Lets's calculate GCF of 500,9809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3987416/1
Therefore the LCM of Fractions 703/500,5672/9809 is 3987416
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 9809
List of positive integer factors of 9809 that divides 9809 without a remainder.
1,17,577,9809
Greatest Common Factor
We found the factors 500,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 500,9809 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 703/500, 5672/9809?
Answer: LCM of Numerators as per given numbers 703/500, 5672/9809 is
LCM of Numerators i.e. for 703,5672 is 3987416
GCF of denominators i.e. for 500,9809 is 1.
Thus, LCM of Fractions is 3987416.Finally, LCM of Fractions for 703/500, 5672/9809 is 3987416.