Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 440/409, 9263/8739 quickly i.e. 4075720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 440/409, 9263/8739 is 4075720.
LCM(440/409, 9263/8739) = 4075720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 440/409,9263/8739
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 440,9263
Least Common Multiple of Numerators i.e. LCM of 440,9263 is 4075720.
GCF of Denominators means GCF of 409,8739 as per the given fractions.
GCF of 409,8739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 440,9263
Given numbers has no common factors except 1. So, there LCM is their product i.e 4075720
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 440,9263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,9263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,9263) x common factors =1 x 1 = 1
LCM(440,9263) = ( 440 × 9263 ) / 1
LCM(440,9263) = 4075720 / 1
LCM(440,9263) = 4075720
Lets's calculate GCF of 409,8739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4075720/1
Therefore the LCM of Fractions 440/409,9263/8739 is 4075720
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 8739
List of positive integer factors of 8739 that divides 8739 without a remainder.
1,3,9,971,2913,8739
Greatest Common Factor
We found the factors 409,8739 . The biggest common factor number is the GCF number.
So the greatest common factor 409,8739 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 440/409, 9263/8739?
Answer: LCM of Numerators as per given numbers 440/409, 9263/8739 is
LCM of Numerators i.e. for 440,9263 is 4075720
GCF of denominators i.e. for 409,8739 is 1.
Thus, LCM of Fractions is 4075720.Finally, LCM of Fractions for 440/409, 9263/8739 is 4075720.