Least Common Multiple of 458/209, 584/468, 877/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/209, 584/468, 877/120 quickly i.e. 117286472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/209, 584/468, 877/120 is 117286472.

LCM(458/209, 584/468, 877/120) = 117286472

LCM of 458/209, 584/468, 877/120

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 458/209,584/468,877/120

Given numbers are 458/209,584/468,877/120

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 458,584,877

Least Common Multiple of Numerators i.e. LCM of 458,584,877 is 117286472.

GCF of Denominators means GCF of 209,468,120 as per the given fractions.

GCF of 209,468,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,584,877

LCM of Fractions 458/209,584/468,877/120 is 117286472

2 458, 584, 877
229, 292, 877

∴ So the LCM of the given numbers is 2 x 229 x 292 x 877 = 117286472

Least Common Multiple of 458,584,877 with GCF Formula

Least Common Multiple of 458,584,877 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 458,584,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,584,877) = 1

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

GCF(458,584,877) x common factors =1 x 2 = 2

LCM(458,584,877) = ( 458 × 584 × 877 ) / 2

LCM(458,584,877) = 234572944 / 2

LCM(458,584,877) = 117286472


Lets's calculate GCF of 209,468,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117286472/1

Therefore the LCM of Fractions 458/209,584/468,877/120 is 117286472

Greatest Common Factor of 209,468,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,468,120 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 209,468,120 . The biggest common factor number is the GCF number.
So the greatest common factor 209,468,120 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 458/209, 584/468, 877/120

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 458/209, 584/468, 877/120?

Answer: LCM of Numerators as per given numbers 458/209, 584/468, 877/120 is

LCM of Numerators i.e. for 458,584,877 is 117286472

GCF of denominators i.e. for 209,468,120 is 1.

Thus, LCM of Fractions is 117286472.Finally, LCM of Fractions for 458/209, 584/468, 877/120 is 117286472.