Least Common Multiple of 834/459, 4390/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/459, 4390/231 quickly i.e. 610210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/459, 4390/231 is 610210.

LCM(834/459, 4390/231) = 610210

LCM of 834/459, 4390/231

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 834/459,4390/231

Given numbers are 834/459,4390/231

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 834,4390

Least Common Multiple of Numerators i.e. LCM of 834,4390 is 1830630.

GCF of Denominators means GCF of 459,231 as per the given fractions.

GCF of 459,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,4390

LCM of Fractions 834/459,4390/231 is 610210

2 834, 4390
417, 2195

∴ So the LCM of the given numbers is 2 x 417 x 2195 = 1830630

Least Common Multiple of 834,4390 with GCF Formula

Least Common Multiple of 834,4390 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 834,4390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,4390) = 2

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

GCF(834,4390) x common factors =2 x 1 = 2

LCM(834,4390) = ( 834 × 4390 ) / 2

LCM(834,4390) = 3661260 / 2

LCM(834,4390) = 1830630


Lets's calculate GCF of 459,231

3 459, 231
153, 77

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830630/3

Therefore the LCM of Fractions 834/459,4390/231 is 610210

Greatest Common Factor of 459,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,231 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 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 459,231 . The biggest common factor number is the GCF number.
So the greatest common factor 459,231 is 3.


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 834/459, 4390/231

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 834/459, 4390/231?

Answer: LCM of Numerators as per given numbers 834/459, 4390/231 is

LCM of Numerators i.e. for 834,4390 is 1830630

GCF of denominators i.e. for 459,231 is 3.

Thus, LCM of Fractions is 610210.Finally, LCM of Fractions for 834/459, 4390/231 is 610210.