Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/572, 5287/2780 quickly i.e. 52870/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/572, 5287/2780 is 52870/4.
LCM(10/572, 5287/2780) = 52870/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/572,5287/2780
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 10,5287
Least Common Multiple of Numerators i.e. LCM of 10,5287 is 52870.
GCF of Denominators means GCF of 572,2780 as per the given fractions.
GCF of 572,2780 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,5287
Given numbers has no common factors except 1. So, there LCM is their product i.e 52870
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 10,5287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,5287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,5287) x common factors =1 x 1 = 1
LCM(10,5287) = ( 10 × 5287 ) / 1
LCM(10,5287) = 52870 / 1
LCM(10,5287) = 52870
Lets's calculate GCF of 572,2780
2 | 572, 2780 |
2 | 286, 1390 |
143, 695 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52870/4
Therefore the LCM of Fractions 10/572,5287/2780 is 52870/4
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 2780
List of positive integer factors of 2780 that divides 2780 without a remainder.
1,2,4,5,10,20,139,278,556,695,1390,2780
Greatest Common Factor
We found the factors 572,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 572,2780 is 4.
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 10/572, 5287/2780?
Answer: LCM of Numerators as per given numbers 10/572, 5287/2780 is
LCM of Numerators i.e. for 10,5287 is 52870
GCF of denominators i.e. for 572,2780 is 4.
Thus, LCM of Fractions is 52870/4.Finally, LCM of Fractions for 10/572, 5287/2780 is 52870/4.