Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7260/273, 4903/3094 quickly i.e. 35595780/91 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7260/273, 4903/3094 is 35595780/91.
LCM(7260/273, 4903/3094) = 35595780/91
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7260/273,4903/3094
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 7260,4903
Least Common Multiple of Numerators i.e. LCM of 7260,4903 is 35595780.
GCF of Denominators means GCF of 273,3094 as per the given fractions.
GCF of 273,3094 is 91 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7260,4903
Given numbers has no common factors except 1. So, there LCM is their product i.e 35595780
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 7260,4903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7260,4903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7260,4903) x common factors =1 x 1 = 1
LCM(7260,4903) = ( 7260 × 4903 ) / 1
LCM(7260,4903) = 35595780 / 1
LCM(7260,4903) = 35595780
Lets's calculate GCF of 273,3094
7 | 273, 3094 |
13 | 39, 442 |
3, 34 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35595780/91
Therefore the LCM of Fractions 7260/273,4903/3094 is 35595780/91
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 3094
List of positive integer factors of 3094 that divides 3094 without a remainder.
1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Greatest Common Factor
We found the factors 273,3094 . The biggest common factor number is the GCF number.
So the greatest common factor 273,3094 is 91.
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 7260/273, 4903/3094?
Answer: LCM of Numerators as per given numbers 7260/273, 4903/3094 is
LCM of Numerators i.e. for 7260,4903 is 35595780
GCF of denominators i.e. for 273,3094 is 91.
Thus, LCM of Fractions is 35595780/91.Finally, LCM of Fractions for 7260/273, 4903/3094 is 35595780/91.