Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/538, 53/395, 323/542 quickly i.e. 633403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/538, 53/395, 323/542 is 633403.
LCM(37/538, 53/395, 323/542) = 633403
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/538,53/395,323/542
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 37,53,323
Least Common Multiple of Numerators i.e. LCM of 37,53,323 is 633403.
GCF of Denominators means GCF of 538,395,542 as per the given fractions.
GCF of 538,395,542 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,53,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 633403
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 37,53,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,53,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,53,323) x common factors =1 x 1 = 1
LCM(37,53,323) = ( 37 × 53 × 323 ) / 1
LCM(37,53,323) = 633403 / 1
LCM(37,53,323) = 633403
Lets's calculate GCF of 538,395,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633403/1
Therefore the LCM of Fractions 37/538,53/395,323/542 is 633403
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 538,395,542 . The biggest common factor number is the GCF number.
So the greatest common factor 538,395,542 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 37/538, 53/395, 323/542?
Answer: LCM of Numerators as per given numbers 37/538, 53/395, 323/542 is
LCM of Numerators i.e. for 37,53,323 is 633403
GCF of denominators i.e. for 538,395,542 is 1.
Thus, LCM of Fractions is 633403.Finally, LCM of Fractions for 37/538, 53/395, 323/542 is 633403.