Least Common Multiple of 54/863, 31/230, 775/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/863, 31/230, 775/889 quickly i.e. 41850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/863, 31/230, 775/889 is 41850.

LCM(54/863, 31/230, 775/889) = 41850

LCM of 54/863, 31/230, 775/889

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 54/863,31/230,775/889

Given numbers are 54/863,31/230,775/889

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 54,31,775

Least Common Multiple of Numerators i.e. LCM of 54,31,775 is 41850.

GCF of Denominators means GCF of 863,230,889 as per the given fractions.

GCF of 863,230,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,31,775

LCM of Fractions 54/863,31/230,775/889 is 41850

31 54, 31, 775
54, 1, 25

∴ So the LCM of the given numbers is 31 x 54 x 1 x 25 = 41850

Least Common Multiple of 54,31,775 with GCF Formula

Least Common Multiple of 54,31,775 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 54,31,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,31,775) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(54,31,775) x common factors =1 x 31 = 31

LCM(54,31,775) = ( 54 × 31 × 775 ) / 31

LCM(54,31,775) = 1297350 / 31

LCM(54,31,775) = 41850


Lets's calculate GCF of 863,230,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41850/1

Therefore the LCM of Fractions 54/863,31/230,775/889 is 41850

Greatest Common Factor of 863,230,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,230,889 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 863,230,889 . The biggest common factor number is the GCF number.
So the greatest common factor 863,230,889 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 54/863, 31/230, 775/889

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 54/863, 31/230, 775/889?

Answer: LCM of Numerators as per given numbers 54/863, 31/230, 775/889 is

LCM of Numerators i.e. for 54,31,775 is 41850

GCF of denominators i.e. for 863,230,889 is 1.

Thus, LCM of Fractions is 41850.Finally, LCM of Fractions for 54/863, 31/230, 775/889 is 41850.