Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 514/91, 580/1921 quickly i.e. 149060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 514/91, 580/1921 is 149060.
LCM(514/91, 580/1921) = 149060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 514/91,580/1921
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 514,580
Least Common Multiple of Numerators i.e. LCM of 514,580 is 149060.
GCF of Denominators means GCF of 91,1921 as per the given fractions.
GCF of 91,1921 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 514,580
2 | 514, 580 |
257, 290 |
∴ So the LCM of the given numbers is 2 x 257 x 290 = 149060
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 514,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,580) x common factors =2 x 1 = 2
LCM(514,580) = ( 514 × 580 ) / 2
LCM(514,580) = 298120 / 2
LCM(514,580) = 149060
Lets's calculate GCF of 91,1921
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149060/1
Therefore the LCM of Fractions 514/91,580/1921 is 149060
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 1921
List of positive integer factors of 1921 that divides 1921 without a remainder.
1,17,113,1921
Greatest Common Factor
We found the factors 91,1921 . The biggest common factor number is the GCF number.
So the greatest common factor 91,1921 is 1.
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 514/91, 580/1921?
Answer: LCM of Numerators as per given numbers 514/91, 580/1921 is
LCM of Numerators i.e. for 514,580 is 149060
GCF of denominators i.e. for 91,1921 is 1.
Thus, LCM of Fractions is 149060.Finally, LCM of Fractions for 514/91, 580/1921 is 149060.