Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3379/621, 6044/4295 quickly i.e. 20422676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3379/621, 6044/4295 is 20422676.
LCM(3379/621, 6044/4295) = 20422676
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3379/621,6044/4295
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 3379,6044
Least Common Multiple of Numerators i.e. LCM of 3379,6044 is 20422676.
GCF of Denominators means GCF of 621,4295 as per the given fractions.
GCF of 621,4295 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3379,6044
Given numbers has no common factors except 1. So, there LCM is their product i.e 20422676
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 3379,6044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3379,6044) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3379,6044) x common factors =1 x 1 = 1
LCM(3379,6044) = ( 3379 × 6044 ) / 1
LCM(3379,6044) = 20422676 / 1
LCM(3379,6044) = 20422676
Lets's calculate GCF of 621,4295
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20422676/1
Therefore the LCM of Fractions 3379/621,6044/4295 is 20422676
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 4295
List of positive integer factors of 4295 that divides 4295 without a remainder.
1,5,859,4295
Greatest Common Factor
We found the factors 621,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 621,4295 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 3379/621, 6044/4295?
Answer: LCM of Numerators as per given numbers 3379/621, 6044/4295 is
LCM of Numerators i.e. for 3379,6044 is 20422676
GCF of denominators i.e. for 621,4295 is 1.
Thus, LCM of Fractions is 20422676.Finally, LCM of Fractions for 3379/621, 6044/4295 is 20422676.