Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7251/879, 7684/293 quickly i.e. 55716684/293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7251/879, 7684/293 is 55716684/293.
LCM(7251/879, 7684/293) = 55716684/293
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7251/879,7684/293
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 7251,7684
Least Common Multiple of Numerators i.e. LCM of 7251,7684 is 55716684.
GCF of Denominators means GCF of 879,293 as per the given fractions.
GCF of 879,293 is 293 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7251,7684
Given numbers has no common factors except 1. So, there LCM is their product i.e 55716684
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 7251,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7251,7684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7251,7684) x common factors =1 x 1 = 1
LCM(7251,7684) = ( 7251 × 7684 ) / 1
LCM(7251,7684) = 55716684 / 1
LCM(7251,7684) = 55716684
Lets's calculate GCF of 879,293
293 | 879, 293 |
3, 1 |
∴ So the GCF of the given numbers is 293 = 293
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55716684/293
Therefore the LCM of Fractions 7251/879,7684/293 is 55716684/293
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 879,293 . The biggest common factor number is the GCF number.
So the greatest common factor 879,293 is 293.
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 7251/879, 7684/293?
Answer: LCM of Numerators as per given numbers 7251/879, 7684/293 is
LCM of Numerators i.e. for 7251,7684 is 55716684
GCF of denominators i.e. for 879,293 is 293.
Thus, LCM of Fractions is 55716684/293.Finally, LCM of Fractions for 7251/879, 7684/293 is 55716684/293.