Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/63, 559/7087 quickly i.e. 280618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/63, 559/7087 is 280618.
LCM(502/63, 559/7087) = 280618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/63,559/7087
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 502,559
Least Common Multiple of Numerators i.e. LCM of 502,559 is 280618.
GCF of Denominators means GCF of 63,7087 as per the given fractions.
GCF of 63,7087 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 280618
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 502,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,559) x common factors =1 x 1 = 1
LCM(502,559) = ( 502 × 559 ) / 1
LCM(502,559) = 280618 / 1
LCM(502,559) = 280618
Lets's calculate GCF of 63,7087
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280618/1
Therefore the LCM of Fractions 502/63,559/7087 is 280618
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 7087
List of positive integer factors of 7087 that divides 7087 without a remainder.
1,19,373,7087
Greatest Common Factor
We found the factors 63,7087 . The biggest common factor number is the GCF number.
So the greatest common factor 63,7087 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 502/63, 559/7087?
Answer: LCM of Numerators as per given numbers 502/63, 559/7087 is
LCM of Numerators i.e. for 502,559 is 280618
GCF of denominators i.e. for 63,7087 is 1.
Thus, LCM of Fractions is 280618.Finally, LCM of Fractions for 502/63, 559/7087 is 280618.