Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 679/109, 2299/4180 quickly i.e. 1561021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 679/109, 2299/4180 is 1561021.
LCM(679/109, 2299/4180) = 1561021
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 679/109,2299/4180
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 679,2299
Least Common Multiple of Numerators i.e. LCM of 679,2299 is 1561021.
GCF of Denominators means GCF of 109,4180 as per the given fractions.
GCF of 109,4180 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 679,2299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1561021
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 679,2299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,2299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,2299) x common factors =1 x 1 = 1
LCM(679,2299) = ( 679 × 2299 ) / 1
LCM(679,2299) = 1561021 / 1
LCM(679,2299) = 1561021
Lets's calculate GCF of 109,4180
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1561021/1
Therefore the LCM of Fractions 679/109,2299/4180 is 1561021
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 4180
List of positive integer factors of 4180 that divides 4180 without a remainder.
1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180
Greatest Common Factor
We found the factors 109,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 109,4180 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 679/109, 2299/4180?
Answer: LCM of Numerators as per given numbers 679/109, 2299/4180 is
LCM of Numerators i.e. for 679,2299 is 1561021
GCF of denominators i.e. for 109,4180 is 1.
Thus, LCM of Fractions is 1561021.Finally, LCM of Fractions for 679/109, 2299/4180 is 1561021.