Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 206/524, 5065/1495 quickly i.e. 1043390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 206/524, 5065/1495 is 1043390.
LCM(206/524, 5065/1495) = 1043390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 206/524,5065/1495
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 206,5065
Least Common Multiple of Numerators i.e. LCM of 206,5065 is 1043390.
GCF of Denominators means GCF of 524,1495 as per the given fractions.
GCF of 524,1495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 206,5065
Given numbers has no common factors except 1. So, there LCM is their product i.e 1043390
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 206,5065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,5065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,5065) x common factors =1 x 1 = 1
LCM(206,5065) = ( 206 × 5065 ) / 1
LCM(206,5065) = 1043390 / 1
LCM(206,5065) = 1043390
Lets's calculate GCF of 524,1495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1043390/1
Therefore the LCM of Fractions 206/524,5065/1495 is 1043390
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 1495
List of positive integer factors of 1495 that divides 1495 without a remainder.
1,5,13,23,65,115,299,1495
Greatest Common Factor
We found the factors 524,1495 . The biggest common factor number is the GCF number.
So the greatest common factor 524,1495 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 206/524, 5065/1495?
Answer: LCM of Numerators as per given numbers 206/524, 5065/1495 is
LCM of Numerators i.e. for 206,5065 is 1043390
GCF of denominators i.e. for 524,1495 is 1.
Thus, LCM of Fractions is 1043390.Finally, LCM of Fractions for 206/524, 5065/1495 is 1043390.