Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7366/298, 6760/336 quickly i.e. 12448540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7366/298, 6760/336 is 12448540.
LCM(7366/298, 6760/336) = 12448540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7366/298,6760/336
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 7366,6760
Least Common Multiple of Numerators i.e. LCM of 7366,6760 is 24897080.
GCF of Denominators means GCF of 298,336 as per the given fractions.
GCF of 298,336 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7366,6760
2 | 7366, 6760 |
3683, 3380 |
∴ So the LCM of the given numbers is 2 x 3683 x 3380 = 24897080
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 7366,6760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7366,6760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7366,6760) x common factors =2 x 1 = 2
LCM(7366,6760) = ( 7366 × 6760 ) / 2
LCM(7366,6760) = 49794160 / 2
LCM(7366,6760) = 24897080
Lets's calculate GCF of 298,336
2 | 298, 336 |
149, 168 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24897080/2
Therefore the LCM of Fractions 7366/298,6760/336 is 12448540
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 298,336 . The biggest common factor number is the GCF number.
So the greatest common factor 298,336 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 7366/298, 6760/336?
Answer: LCM of Numerators as per given numbers 7366/298, 6760/336 is
LCM of Numerators i.e. for 7366,6760 is 24897080
GCF of denominators i.e. for 298,336 is 2.
Thus, LCM of Fractions is 12448540.Finally, LCM of Fractions for 7366/298, 6760/336 is 12448540.