Least Common Multiple of 58/576, 358/689, 543/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/576, 358/689, 543/886 quickly i.e. 5637426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/576, 358/689, 543/886 is 5637426.

LCM(58/576, 358/689, 543/886) = 5637426

LCM of 58/576, 358/689, 543/886

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 58/576,358/689,543/886

Given numbers are 58/576,358/689,543/886

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 58,358,543

Least Common Multiple of Numerators i.e. LCM of 58,358,543 is 5637426.

GCF of Denominators means GCF of 576,689,886 as per the given fractions.

GCF of 576,689,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,358,543

LCM of Fractions 58/576,358/689,543/886 is 5637426

2 58, 358, 543
29, 179, 543

∴ So the LCM of the given numbers is 2 x 29 x 179 x 543 = 5637426

Least Common Multiple of 58,358,543 with GCF Formula

Least Common Multiple of 58,358,543 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 58,358,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,358,543) = 1

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

GCF(58,358,543) x common factors =1 x 2 = 2

LCM(58,358,543) = ( 58 × 358 × 543 ) / 2

LCM(58,358,543) = 11274852 / 2

LCM(58,358,543) = 5637426


Lets's calculate GCF of 576,689,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5637426/1

Therefore the LCM of Fractions 58/576,358/689,543/886 is 5637426

Greatest Common Factor of 576,689,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,689,886 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 576,689,886 . The biggest common factor number is the GCF number.
So the greatest common factor 576,689,886 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 58/576, 358/689, 543/886

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 58/576, 358/689, 543/886?

Answer: LCM of Numerators as per given numbers 58/576, 358/689, 543/886 is

LCM of Numerators i.e. for 58,358,543 is 5637426

GCF of denominators i.e. for 576,689,886 is 1.

Thus, LCM of Fractions is 5637426.Finally, LCM of Fractions for 58/576, 358/689, 543/886 is 5637426.