Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2781/718, 4408/8849 quickly i.e. 12258648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2781/718, 4408/8849 is 12258648.
LCM(2781/718, 4408/8849) = 12258648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2781/718,4408/8849
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 2781,4408
Least Common Multiple of Numerators i.e. LCM of 2781,4408 is 12258648.
GCF of Denominators means GCF of 718,8849 as per the given fractions.
GCF of 718,8849 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2781,4408
Given numbers has no common factors except 1. So, there LCM is their product i.e 12258648
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 2781,4408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2781,4408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2781,4408) x common factors =1 x 1 = 1
LCM(2781,4408) = ( 2781 × 4408 ) / 1
LCM(2781,4408) = 12258648 / 1
LCM(2781,4408) = 12258648
Lets's calculate GCF of 718,8849
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12258648/1
Therefore the LCM of Fractions 2781/718,4408/8849 is 12258648
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 8849
List of positive integer factors of 8849 that divides 8849 without a remainder.
1,8849
Greatest Common Factor
We found the factors 718,8849 . The biggest common factor number is the GCF number.
So the greatest common factor 718,8849 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 2781/718, 4408/8849?
Answer: LCM of Numerators as per given numbers 2781/718, 4408/8849 is
LCM of Numerators i.e. for 2781,4408 is 12258648
GCF of denominators i.e. for 718,8849 is 1.
Thus, LCM of Fractions is 12258648.Finally, LCM of Fractions for 2781/718, 4408/8849 is 12258648.