Least Common Multiple of 481/26, 211/49, 192/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/26, 211/49, 192/544 quickly i.e. 19486272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/26, 211/49, 192/544 is 19486272.

LCM(481/26, 211/49, 192/544) = 19486272

LCM of 481/26, 211/49, 192/544

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 481/26,211/49,192/544

Given numbers are 481/26,211/49,192/544

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 481,211,192

Least Common Multiple of Numerators i.e. LCM of 481,211,192 is 19486272.

GCF of Denominators means GCF of 26,49,544 as per the given fractions.

GCF of 26,49,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,211,192

LCM of Fractions 481/26,211/49,192/544 is 19486272

Given numbers has no common factors except 1. So, there LCM is their product i.e 19486272

Least Common Multiple of 481,211,192 with GCF Formula

Least Common Multiple of 481,211,192 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 481,211,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,211,192) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(481,211,192) x common factors =1 x 1 = 1

LCM(481,211,192) = ( 481 × 211 × 192 ) / 1

LCM(481,211,192) = 19486272 / 1

LCM(481,211,192) = 19486272


Lets's calculate GCF of 26,49,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19486272/1

Therefore the LCM of Fractions 481/26,211/49,192/544 is 19486272

Greatest Common Factor of 26,49,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,49,544 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 26,49,544 . The biggest common factor number is the GCF number.
So the greatest common factor 26,49,544 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 481/26, 211/49, 192/544

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 481/26, 211/49, 192/544?

Answer: LCM of Numerators as per given numbers 481/26, 211/49, 192/544 is

LCM of Numerators i.e. for 481,211,192 is 19486272

GCF of denominators i.e. for 26,49,544 is 1.

Thus, LCM of Fractions is 19486272.Finally, LCM of Fractions for 481/26, 211/49, 192/544 is 19486272.