Least Common Multiple of 576/89, 887/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 576/89, 887/386 quickly i.e. 510912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/89, 887/386 is 510912.

LCM(576/89, 887/386) = 510912

LCM of 576/89, 887/386

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 576/89,887/386

Given numbers are 576/89,887/386

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 576,887

Least Common Multiple of Numerators i.e. LCM of 576,887 is 510912.

GCF of Denominators means GCF of 89,386 as per the given fractions.

GCF of 89,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,887

LCM of Fractions 576/89,887/386 is 510912

Given numbers has no common factors except 1. So, there LCM is their product i.e 510912

Least Common Multiple of 576,887 with GCF Formula

Least Common Multiple of 576,887 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 576,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,887) = 1

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

GCF(576,887) x common factors =1 x 1 = 1

LCM(576,887) = ( 576 × 887 ) / 1

LCM(576,887) = 510912 / 1

LCM(576,887) = 510912


Lets's calculate GCF of 89,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510912/1

Therefore the LCM of Fractions 576/89,887/386 is 510912

Greatest Common Factor of 89,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,386 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 89,386 . The biggest common factor number is the GCF number.
So the greatest common factor 89,386 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 576/89, 887/386

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 576/89, 887/386?

Answer: LCM of Numerators as per given numbers 576/89, 887/386 is

LCM of Numerators i.e. for 576,887 is 510912

GCF of denominators i.e. for 89,386 is 1.

Thus, LCM of Fractions is 510912.Finally, LCM of Fractions for 576/89, 887/386 is 510912.