Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4637/894, 9358/7581 quickly i.e. 43393046/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4637/894, 9358/7581 is 43393046/3.
LCM(4637/894, 9358/7581) = 43393046/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4637/894,9358/7581
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 4637,9358
Least Common Multiple of Numerators i.e. LCM of 4637,9358 is 43393046.
GCF of Denominators means GCF of 894,7581 as per the given fractions.
GCF of 894,7581 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4637,9358
Given numbers has no common factors except 1. So, there LCM is their product i.e 43393046
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 4637,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4637,9358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4637,9358) x common factors =1 x 1 = 1
LCM(4637,9358) = ( 4637 × 9358 ) / 1
LCM(4637,9358) = 43393046 / 1
LCM(4637,9358) = 43393046
Lets's calculate GCF of 894,7581
3 | 894, 7581 |
298, 2527 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43393046/3
Therefore the LCM of Fractions 4637/894,9358/7581 is 43393046/3
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 7581
List of positive integer factors of 7581 that divides 7581 without a remainder.
1,3,7,19,21,57,133,361,399,1083,2527,7581
Greatest Common Factor
We found the factors 894,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 894,7581 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 4637/894, 9358/7581?
Answer: LCM of Numerators as per given numbers 4637/894, 9358/7581 is
LCM of Numerators i.e. for 4637,9358 is 43393046
GCF of denominators i.e. for 894,7581 is 3.
Thus, LCM of Fractions is 43393046/3.Finally, LCM of Fractions for 4637/894, 9358/7581 is 43393046/3.