Least Common Multiple of 37/538, 53/395, 323/542

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

LCM of 37/538, 53/395, 323/542

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 37/538,53/395,323/542

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

LCM of Fractions 37/538,53/395,323/542 is 633403

Given numbers has no common factors except 1. So, there LCM is their product i.e 633403

Least Common Multiple of 37,53,323 with GCF Formula

Least Common Multiple of 37,53,323 with GCF Formula

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

Greatest Common Factor of 538,395,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,395,542 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 37/538, 53/395, 323/542

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.