Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2849/731, 6060/8427 quickly i.e. 17264940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2849/731, 6060/8427 is 17264940.
LCM(2849/731, 6060/8427) = 17264940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2849/731,6060/8427
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 2849,6060
Least Common Multiple of Numerators i.e. LCM of 2849,6060 is 17264940.
GCF of Denominators means GCF of 731,8427 as per the given fractions.
GCF of 731,8427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2849,6060
Given numbers has no common factors except 1. So, there LCM is their product i.e 17264940
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 2849,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2849,6060) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2849,6060) x common factors =1 x 1 = 1
LCM(2849,6060) = ( 2849 × 6060 ) / 1
LCM(2849,6060) = 17264940 / 1
LCM(2849,6060) = 17264940
Lets's calculate GCF of 731,8427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17264940/1
Therefore the LCM of Fractions 2849/731,6060/8427 is 17264940
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 8427
List of positive integer factors of 8427 that divides 8427 without a remainder.
1,3,53,159,2809,8427
Greatest Common Factor
We found the factors 731,8427 . The biggest common factor number is the GCF number.
So the greatest common factor 731,8427 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 2849/731, 6060/8427?
Answer: LCM of Numerators as per given numbers 2849/731, 6060/8427 is
LCM of Numerators i.e. for 2849,6060 is 17264940
GCF of denominators i.e. for 731,8427 is 1.
Thus, LCM of Fractions is 17264940.Finally, LCM of Fractions for 2849/731, 6060/8427 is 17264940.