Least Common Multiple of 58/520, 96/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/520, 96/893 quickly i.e. 2784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/520, 96/893 is 2784.

LCM(58/520, 96/893) = 2784

LCM of 58/520, 96/893

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 58/520,96/893

Given numbers are 58/520,96/893

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 58,96

Least Common Multiple of Numerators i.e. LCM of 58,96 is 2784.

GCF of Denominators means GCF of 520,893 as per the given fractions.

GCF of 520,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,96

LCM of Fractions 58/520,96/893 is 2784

2 58, 96
29, 48

∴ So the LCM of the given numbers is 2 x 29 x 48 = 2784

Least Common Multiple of 58,96 with GCF Formula

Least Common Multiple of 58,96 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 58,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,96) = 2

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

GCF(58,96) x common factors =2 x 1 = 2

LCM(58,96) = ( 58 × 96 ) / 2

LCM(58,96) = 5568 / 2

LCM(58,96) = 2784


Lets's calculate GCF of 520,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2784/1

Therefore the LCM of Fractions 58/520,96/893 is 2784

Greatest Common Factor of 520,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,893 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 520,893 . The biggest common factor number is the GCF number.
So the greatest common factor 520,893 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 58/520, 96/893

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 58/520, 96/893?

Answer: LCM of Numerators as per given numbers 58/520, 96/893 is

LCM of Numerators i.e. for 58,96 is 2784

GCF of denominators i.e. for 520,893 is 1.

Thus, LCM of Fractions is 2784.Finally, LCM of Fractions for 58/520, 96/893 is 2784.