Least Common Multiple of 67/459, 39/538, 669/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/459, 39/538, 669/854 quickly i.e. 582699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/459, 39/538, 669/854 is 582699.

LCM(67/459, 39/538, 669/854) = 582699

LCM of 67/459, 39/538, 669/854

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 67/459,39/538,669/854

Given numbers are 67/459,39/538,669/854

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 67,39,669

Least Common Multiple of Numerators i.e. LCM of 67,39,669 is 582699.

GCF of Denominators means GCF of 459,538,854 as per the given fractions.

GCF of 459,538,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,39,669

LCM of Fractions 67/459,39/538,669/854 is 582699

3 67, 39, 669
67, 13, 223

∴ So the LCM of the given numbers is 3 x 67 x 13 x 223 = 582699

Least Common Multiple of 67,39,669 with GCF Formula

Least Common Multiple of 67,39,669 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 67,39,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,39,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(67,39,669) x common factors =1 x 3 = 3

LCM(67,39,669) = ( 67 × 39 × 669 ) / 3

LCM(67,39,669) = 1748097 / 3

LCM(67,39,669) = 582699


Lets's calculate GCF of 459,538,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582699/1

Therefore the LCM of Fractions 67/459,39/538,669/854 is 582699

Greatest Common Factor of 459,538,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,538,854 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 459,538,854 . The biggest common factor number is the GCF number.
So the greatest common factor 459,538,854 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 67/459, 39/538, 669/854

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 67/459, 39/538, 669/854?

Answer: LCM of Numerators as per given numbers 67/459, 39/538, 669/854 is

LCM of Numerators i.e. for 67,39,669 is 582699

GCF of denominators i.e. for 459,538,854 is 1.

Thus, LCM of Fractions is 582699.Finally, LCM of Fractions for 67/459, 39/538, 669/854 is 582699.