Least Common Multiple of 544/321, 893/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 544/321, 893/386 quickly i.e. 485792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/321, 893/386 is 485792.

LCM(544/321, 893/386) = 485792

LCM of 544/321, 893/386

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 544/321,893/386

Given numbers are 544/321,893/386

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 544,893

Least Common Multiple of Numerators i.e. LCM of 544,893 is 485792.

GCF of Denominators means GCF of 321,386 as per the given fractions.

GCF of 321,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,893

LCM of Fractions 544/321,893/386 is 485792

Given numbers has no common factors except 1. So, there LCM is their product i.e 485792

Least Common Multiple of 544,893 with GCF Formula

Least Common Multiple of 544,893 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 544,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,893) = 1

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

GCF(544,893) x common factors =1 x 1 = 1

LCM(544,893) = ( 544 × 893 ) / 1

LCM(544,893) = 485792 / 1

LCM(544,893) = 485792


Lets's calculate GCF of 321,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485792/1

Therefore the LCM of Fractions 544/321,893/386 is 485792

Greatest Common Factor of 321,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,386 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 321,386 . The biggest common factor number is the GCF number.
So the greatest common factor 321,386 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 544/321, 893/386

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 544/321, 893/386?

Answer: LCM of Numerators as per given numbers 544/321, 893/386 is

LCM of Numerators i.e. for 544,893 is 485792

GCF of denominators i.e. for 321,386 is 1.

Thus, LCM of Fractions is 485792.Finally, LCM of Fractions for 544/321, 893/386 is 485792.