Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7304/123, 5474/123 quickly i.e. 19991048/123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7304/123, 5474/123 is 19991048/123.
LCM(7304/123, 5474/123) = 19991048/123
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7304/123,5474/123
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 7304,5474
Least Common Multiple of Numerators i.e. LCM of 7304,5474 is 19991048.
GCF of Denominators means GCF of 123,123 as per the given fractions.
GCF of 123,123 is 123 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7304,5474
2 | 7304, 5474 |
3652, 2737 |
∴ So the LCM of the given numbers is 2 x 3652 x 2737 = 19991048
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 7304,5474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7304,5474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7304,5474) x common factors =2 x 1 = 2
LCM(7304,5474) = ( 7304 × 5474 ) / 2
LCM(7304,5474) = 39982096 / 2
LCM(7304,5474) = 19991048
Lets's calculate GCF of 123,123
3 | 123, 123 |
41 | 41, 41 |
1, 1 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19991048/123
Therefore the LCM of Fractions 7304/123,5474/123 is 19991048/123
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 123,123 . The biggest common factor number is the GCF number.
So the greatest common factor 123,123 is 123.
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 7304/123, 5474/123?
Answer: LCM of Numerators as per given numbers 7304/123, 5474/123 is
LCM of Numerators i.e. for 7304,5474 is 19991048
GCF of denominators i.e. for 123,123 is 123.
Thus, LCM of Fractions is 19991048/123.Finally, LCM of Fractions for 7304/123, 5474/123 is 19991048/123.