Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/572, 143/571, 747/731 quickly i.e. 3738735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/572, 143/571, 747/731 is 3738735.
LCM(35/572, 143/571, 747/731) = 3738735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/572,143/571,747/731
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 35,143,747
Least Common Multiple of Numerators i.e. LCM of 35,143,747 is 3738735.
GCF of Denominators means GCF of 572,571,731 as per the given fractions.
GCF of 572,571,731 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,143,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 3738735
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 35,143,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,143,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,143,747) x common factors =1 x 1 = 1
LCM(35,143,747) = ( 35 × 143 × 747 ) / 1
LCM(35,143,747) = 3738735 / 1
LCM(35,143,747) = 3738735
Lets's calculate GCF of 572,571,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3738735/1
Therefore the LCM of Fractions 35/572,143/571,747/731 is 3738735
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 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors 572,571,731 . The biggest common factor number is the GCF number.
So the greatest common factor 572,571,731 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 35/572, 143/571, 747/731?
Answer: LCM of Numerators as per given numbers 35/572, 143/571, 747/731 is
LCM of Numerators i.e. for 35,143,747 is 3738735
GCF of denominators i.e. for 572,571,731 is 1.
Thus, LCM of Fractions is 3738735.Finally, LCM of Fractions for 35/572, 143/571, 747/731 is 3738735.