Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 514/316, 720/503 quickly i.e. 185040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 514/316, 720/503 is 185040.
LCM(514/316, 720/503) = 185040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 514/316,720/503
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 514,720
Least Common Multiple of Numerators i.e. LCM of 514,720 is 185040.
GCF of Denominators means GCF of 316,503 as per the given fractions.
GCF of 316,503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 514,720
2 | 514, 720 |
257, 360 |
∴ So the LCM of the given numbers is 2 x 257 x 360 = 185040
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 514,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,720) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,720) x common factors =2 x 1 = 2
LCM(514,720) = ( 514 × 720 ) / 2
LCM(514,720) = 370080 / 2
LCM(514,720) = 185040
Lets's calculate GCF of 316,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185040/1
Therefore the LCM of Fractions 514/316,720/503 is 185040
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 316,503 . The biggest common factor number is the GCF number.
So the greatest common factor 316,503 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 514/316, 720/503?
Answer: LCM of Numerators as per given numbers 514/316, 720/503 is
LCM of Numerators i.e. for 514,720 is 185040
GCF of denominators i.e. for 316,503 is 1.
Thus, LCM of Fractions is 185040.Finally, LCM of Fractions for 514/316, 720/503 is 185040.