Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/507, 787/526, 244/574 quickly i.e. 2112308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/507, 787/526, 244/574 is 2112308.
LCM(11/507, 787/526, 244/574) = 2112308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/507,787/526,244/574
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 11,787,244
Least Common Multiple of Numerators i.e. LCM of 11,787,244 is 2112308.
GCF of Denominators means GCF of 507,526,574 as per the given fractions.
GCF of 507,526,574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,787,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 2112308
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 11,787,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,787,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,787,244) x common factors =1 x 1 = 1
LCM(11,787,244) = ( 11 × 787 × 244 ) / 1
LCM(11,787,244) = 2112308 / 1
LCM(11,787,244) = 2112308
Lets's calculate GCF of 507,526,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2112308/1
Therefore the LCM of Fractions 11/507,787/526,244/574 is 2112308
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 507,526,574 . The biggest common factor number is the GCF number.
So the greatest common factor 507,526,574 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 11/507, 787/526, 244/574?
Answer: LCM of Numerators as per given numbers 11/507, 787/526, 244/574 is
LCM of Numerators i.e. for 11,787,244 is 2112308
GCF of denominators i.e. for 507,526,574 is 1.
Thus, LCM of Fractions is 2112308.Finally, LCM of Fractions for 11/507, 787/526, 244/574 is 2112308.