Least Common Multiple of 578/10, 320/5887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/10, 320/5887 quickly i.e. 92480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/10, 320/5887 is 92480.

LCM(578/10, 320/5887) = 92480

LCM of 578/10, 320/5887

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 578/10,320/5887

Given numbers are 578/10,320/5887

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 578,320

Least Common Multiple of Numerators i.e. LCM of 578,320 is 92480.

GCF of Denominators means GCF of 10,5887 as per the given fractions.

GCF of 10,5887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,320

LCM of Fractions 578/10,320/5887 is 92480

2 578, 320
289, 160

∴ So the LCM of the given numbers is 2 x 289 x 160 = 92480

Least Common Multiple of 578,320 with GCF Formula

Least Common Multiple of 578,320 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 578,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,320) = 2

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

GCF(578,320) x common factors =2 x 1 = 2

LCM(578,320) = ( 578 × 320 ) / 2

LCM(578,320) = 184960 / 2

LCM(578,320) = 92480


Lets's calculate GCF of 10,5887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92480/1

Therefore the LCM of Fractions 578/10,320/5887 is 92480

Greatest Common Factor of 10,5887 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,5887 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 5887

List of positive integer factors of 5887 that divides 5887 without a remainder.

1,7,29,203,841,5887

Greatest Common Factor

We found the factors 10,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 10,5887 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 578/10, 320/5887

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 578/10, 320/5887?

Answer: LCM of Numerators as per given numbers 578/10, 320/5887 is

LCM of Numerators i.e. for 578,320 is 92480

GCF of denominators i.e. for 10,5887 is 1.

Thus, LCM of Fractions is 92480.Finally, LCM of Fractions for 578/10, 320/5887 is 92480.