Least Common Multiple of 38/533, 26/318, 337/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/533, 26/318, 337/541 quickly i.e. 166478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/533, 26/318, 337/541 is 166478.

LCM(38/533, 26/318, 337/541) = 166478

LCM of 38/533, 26/318, 337/541

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 38/533,26/318,337/541

Given numbers are 38/533,26/318,337/541

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 38,26,337

Least Common Multiple of Numerators i.e. LCM of 38,26,337 is 166478.

GCF of Denominators means GCF of 533,318,541 as per the given fractions.

GCF of 533,318,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,26,337

LCM of Fractions 38/533,26/318,337/541 is 166478

2 38, 26, 337
19, 13, 337

∴ So the LCM of the given numbers is 2 x 19 x 13 x 337 = 166478

Least Common Multiple of 38,26,337 with GCF Formula

Least Common Multiple of 38,26,337 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 38,26,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,26,337) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,26,337) x common factors =1 x 2 = 2

LCM(38,26,337) = ( 38 × 26 × 337 ) / 2

LCM(38,26,337) = 332956 / 2

LCM(38,26,337) = 166478


Lets's calculate GCF of 533,318,541

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166478/1

Therefore the LCM of Fractions 38/533,26/318,337/541 is 166478

Greatest Common Factor of 533,318,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,318,541 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 533,318,541 . The biggest common factor number is the GCF number.
So the greatest common factor 533,318,541 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 38/533, 26/318, 337/541

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 38/533, 26/318, 337/541?

Answer: LCM of Numerators as per given numbers 38/533, 26/318, 337/541 is

LCM of Numerators i.e. for 38,26,337 is 166478

GCF of denominators i.e. for 533,318,541 is 1.

Thus, LCM of Fractions is 166478.Finally, LCM of Fractions for 38/533, 26/318, 337/541 is 166478.