Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2123/794, 9283/7190 quickly i.e. 19707809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2123/794, 9283/7190 is 19707809/2.
LCM(2123/794, 9283/7190) = 19707809/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2123/794,9283/7190
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 2123,9283
Least Common Multiple of Numerators i.e. LCM of 2123,9283 is 19707809.
GCF of Denominators means GCF of 794,7190 as per the given fractions.
GCF of 794,7190 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2123,9283
Given numbers has no common factors except 1. So, there LCM is their product i.e 19707809
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 2123,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2123,9283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2123,9283) x common factors =1 x 1 = 1
LCM(2123,9283) = ( 2123 × 9283 ) / 1
LCM(2123,9283) = 19707809 / 1
LCM(2123,9283) = 19707809
Lets's calculate GCF of 794,7190
2 | 794, 7190 |
397, 3595 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19707809/2
Therefore the LCM of Fractions 2123/794,9283/7190 is 19707809/2
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 7190
List of positive integer factors of 7190 that divides 7190 without a remainder.
1,2,5,10,719,1438,3595,7190
Greatest Common Factor
We found the factors 794,7190 . The biggest common factor number is the GCF number.
So the greatest common factor 794,7190 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 2123/794, 9283/7190?
Answer: LCM of Numerators as per given numbers 2123/794, 9283/7190 is
LCM of Numerators i.e. for 2123,9283 is 19707809
GCF of denominators i.e. for 794,7190 is 2.
Thus, LCM of Fractions is 19707809/2.Finally, LCM of Fractions for 2123/794, 9283/7190 is 19707809/2.