Least Common Multiple of 548/83, 787/5943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/83, 787/5943 quickly i.e. 431276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/83, 787/5943 is 431276.

LCM(548/83, 787/5943) = 431276

LCM of 548/83, 787/5943

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 548/83,787/5943

Given numbers are 548/83,787/5943

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 548,787

Least Common Multiple of Numerators i.e. LCM of 548,787 is 431276.

GCF of Denominators means GCF of 83,5943 as per the given fractions.

GCF of 83,5943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,787

LCM of Fractions 548/83,787/5943 is 431276

Given numbers has no common factors except 1. So, there LCM is their product i.e 431276

Least Common Multiple of 548,787 with GCF Formula

Least Common Multiple of 548,787 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 548,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,787) = 1

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

GCF(548,787) x common factors =1 x 1 = 1

LCM(548,787) = ( 548 × 787 ) / 1

LCM(548,787) = 431276 / 1

LCM(548,787) = 431276


Lets's calculate GCF of 83,5943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431276/1

Therefore the LCM of Fractions 548/83,787/5943 is 431276

Greatest Common Factor of 83,5943 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,5943 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 5943

List of positive integer factors of 5943 that divides 5943 without a remainder.

1,3,7,21,283,849,1981,5943

Greatest Common Factor

We found the factors 83,5943 . The biggest common factor number is the GCF number.
So the greatest common factor 83,5943 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 548/83, 787/5943

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 548/83, 787/5943?

Answer: LCM of Numerators as per given numbers 548/83, 787/5943 is

LCM of Numerators i.e. for 548,787 is 431276

GCF of denominators i.e. for 83,5943 is 1.

Thus, LCM of Fractions is 431276.Finally, LCM of Fractions for 548/83, 787/5943 is 431276.