Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2149/921, 5073/6918 quickly i.e. 3633959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2149/921, 5073/6918 is 3633959.
LCM(2149/921, 5073/6918) = 3633959
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2149/921,5073/6918
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 2149,5073
Least Common Multiple of Numerators i.e. LCM of 2149,5073 is 10901877.
GCF of Denominators means GCF of 921,6918 as per the given fractions.
GCF of 921,6918 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2149,5073
Given numbers has no common factors except 1. So, there LCM is their product i.e 10901877
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 2149,5073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2149,5073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2149,5073) x common factors =1 x 1 = 1
LCM(2149,5073) = ( 2149 × 5073 ) / 1
LCM(2149,5073) = 10901877 / 1
LCM(2149,5073) = 10901877
Lets's calculate GCF of 921,6918
3 | 921, 6918 |
307, 2306 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10901877/3
Therefore the LCM of Fractions 2149/921,5073/6918 is 3633959
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 6918
List of positive integer factors of 6918 that divides 6918 without a remainder.
1,2,3,6,1153,2306,3459,6918
Greatest Common Factor
We found the factors 921,6918 . The biggest common factor number is the GCF number.
So the greatest common factor 921,6918 is 3.
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 2149/921, 5073/6918?
Answer: LCM of Numerators as per given numbers 2149/921, 5073/6918 is
LCM of Numerators i.e. for 2149,5073 is 10901877
GCF of denominators i.e. for 921,6918 is 3.
Thus, LCM of Fractions is 3633959.Finally, LCM of Fractions for 2149/921, 5073/6918 is 3633959.