Least Common Multiple of 858/489, 6116/3543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/489, 6116/3543 quickly i.e. 79508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/489, 6116/3543 is 79508.

LCM(858/489, 6116/3543) = 79508

LCM of 858/489, 6116/3543

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 858/489,6116/3543

Given numbers are 858/489,6116/3543

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 858,6116

Least Common Multiple of Numerators i.e. LCM of 858,6116 is 238524.

GCF of Denominators means GCF of 489,3543 as per the given fractions.

GCF of 489,3543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,6116

LCM of Fractions 858/489,6116/3543 is 79508

2 858, 6116
11 429, 3058
39, 278

∴ So the LCM of the given numbers is 2 x 11 x 39 x 278 = 238524

Least Common Multiple of 858,6116 with GCF Formula

Least Common Multiple of 858,6116 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 858,6116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,6116) = 22

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

GCF(858,6116) x common factors =22 x 1 = 22

LCM(858,6116) = ( 858 × 6116 ) / 22

LCM(858,6116) = 5247528 / 22

LCM(858,6116) = 238524


Lets's calculate GCF of 489,3543

3 489, 3543
163, 1181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238524/3

Therefore the LCM of Fractions 858/489,6116/3543 is 79508

Greatest Common Factor of 489,3543 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,3543 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 3543

List of positive integer factors of 3543 that divides 3543 without a remainder.

1,3,1181,3543

Greatest Common Factor

We found the factors 489,3543 . The biggest common factor number is the GCF number.
So the greatest common factor 489,3543 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 858/489, 6116/3543

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 858/489, 6116/3543?

Answer: LCM of Numerators as per given numbers 858/489, 6116/3543 is

LCM of Numerators i.e. for 858,6116 is 238524

GCF of denominators i.e. for 489,3543 is 3.

Thus, LCM of Fractions is 79508.Finally, LCM of Fractions for 858/489, 6116/3543 is 79508.