Least Common Multiple of 2142/327, 6494/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2142/327, 6494/618 quickly i.e. 136374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2142/327, 6494/618 is 136374.

LCM(2142/327, 6494/618) = 136374

LCM of 2142/327, 6494/618

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 2142/327,6494/618

Given numbers are 2142/327,6494/618

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 2142,6494

Least Common Multiple of Numerators i.e. LCM of 2142,6494 is 409122.

GCF of Denominators means GCF of 327,618 as per the given fractions.

GCF of 327,618 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2142,6494

LCM of Fractions 2142/327,6494/618 is 136374

2 2142, 6494
17 1071, 3247
63, 191

∴ So the LCM of the given numbers is 2 x 17 x 63 x 191 = 409122

Least Common Multiple of 2142,6494 with GCF Formula

Least Common Multiple of 2142,6494 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 2142,6494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2142,6494) = 34

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

GCF(2142,6494) x common factors =34 x 1 = 34

LCM(2142,6494) = ( 2142 × 6494 ) / 34

LCM(2142,6494) = 13910148 / 34

LCM(2142,6494) = 409122


Lets's calculate GCF of 327,618

3 327, 618
109, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409122/3

Therefore the LCM of Fractions 2142/327,6494/618 is 136374

Greatest Common Factor of 327,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,618 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 327,618 . The biggest common factor number is the GCF number.
So the greatest common factor 327,618 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 2142/327, 6494/618

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 2142/327, 6494/618?

Answer: LCM of Numerators as per given numbers 2142/327, 6494/618 is

LCM of Numerators i.e. for 2142,6494 is 409122

GCF of denominators i.e. for 327,618 is 3.

Thus, LCM of Fractions is 136374.Finally, LCM of Fractions for 2142/327, 6494/618 is 136374.