Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 597/396, 755/483, 911/142 quickly i.e. 410619585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 597/396, 755/483, 911/142 is 410619585.
LCM(597/396, 755/483, 911/142) = 410619585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 597/396,755/483,911/142
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 597,755,911
Least Common Multiple of Numerators i.e. LCM of 597,755,911 is 410619585.
GCF of Denominators means GCF of 396,483,142 as per the given fractions.
GCF of 396,483,142 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 597,755,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 410619585
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 597,755,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,755,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,755,911) x common factors =1 x 1 = 1
LCM(597,755,911) = ( 597 × 755 × 911 ) / 1
LCM(597,755,911) = 410619585 / 1
LCM(597,755,911) = 410619585
Lets's calculate GCF of 396,483,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410619585/1
Therefore the LCM of Fractions 597/396,755/483,911/142 is 410619585
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 396,483,142 . The biggest common factor number is the GCF number.
So the greatest common factor 396,483,142 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 597/396, 755/483, 911/142?
Answer: LCM of Numerators as per given numbers 597/396, 755/483, 911/142 is
LCM of Numerators i.e. for 597,755,911 is 410619585
GCF of denominators i.e. for 396,483,142 is 1.
Thus, LCM of Fractions is 410619585.Finally, LCM of Fractions for 597/396, 755/483, 911/142 is 410619585.