Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1846/324, 5389/1514 quickly i.e. 4974047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1846/324, 5389/1514 is 4974047.
LCM(1846/324, 5389/1514) = 4974047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1846/324,5389/1514
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 1846,5389
Least Common Multiple of Numerators i.e. LCM of 1846,5389 is 9948094.
GCF of Denominators means GCF of 324,1514 as per the given fractions.
GCF of 324,1514 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1846,5389
Given numbers has no common factors except 1. So, there LCM is their product i.e 9948094
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 1846,5389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1846,5389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1846,5389) x common factors =1 x 1 = 1
LCM(1846,5389) = ( 1846 × 5389 ) / 1
LCM(1846,5389) = 9948094 / 1
LCM(1846,5389) = 9948094
Lets's calculate GCF of 324,1514
2 | 324, 1514 |
162, 757 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9948094/2
Therefore the LCM of Fractions 1846/324,5389/1514 is 4974047
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 1514
List of positive integer factors of 1514 that divides 1514 without a remainder.
1,2,757,1514
Greatest Common Factor
We found the factors 324,1514 . The biggest common factor number is the GCF number.
So the greatest common factor 324,1514 is 2.
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 1846/324, 5389/1514?
Answer: LCM of Numerators as per given numbers 1846/324, 5389/1514 is
LCM of Numerators i.e. for 1846,5389 is 9948094
GCF of denominators i.e. for 324,1514 is 2.
Thus, LCM of Fractions is 4974047.Finally, LCM of Fractions for 1846/324, 5389/1514 is 4974047.