Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9062/590, 5874/484 quickly i.e. 13307547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9062/590, 5874/484 is 13307547.
LCM(9062/590, 5874/484) = 13307547
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9062/590,5874/484
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 9062,5874
Least Common Multiple of Numerators i.e. LCM of 9062,5874 is 26615094.
GCF of Denominators means GCF of 590,484 as per the given fractions.
GCF of 590,484 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9062,5874
2 | 9062, 5874 |
4531, 2937 |
∴ So the LCM of the given numbers is 2 x 4531 x 2937 = 26615094
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 9062,5874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9062,5874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9062,5874) x common factors =2 x 1 = 2
LCM(9062,5874) = ( 9062 × 5874 ) / 2
LCM(9062,5874) = 53230188 / 2
LCM(9062,5874) = 26615094
Lets's calculate GCF of 590,484
2 | 590, 484 |
295, 242 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26615094/2
Therefore the LCM of Fractions 9062/590,5874/484 is 13307547
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 590,484 . The biggest common factor number is the GCF number.
So the greatest common factor 590,484 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 9062/590, 5874/484?
Answer: LCM of Numerators as per given numbers 9062/590, 5874/484 is
LCM of Numerators i.e. for 9062,5874 is 26615094
GCF of denominators i.e. for 590,484 is 2.
Thus, LCM of Fractions is 13307547.Finally, LCM of Fractions for 9062/590, 5874/484 is 13307547.