Least Common Multiple of 802/204, 4146/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/204, 4146/242 quickly i.e. 831273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/204, 4146/242 is 831273.

LCM(802/204, 4146/242) = 831273

LCM of 802/204, 4146/242

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 802/204,4146/242

Given numbers are 802/204,4146/242

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 802,4146

Least Common Multiple of Numerators i.e. LCM of 802,4146 is 1662546.

GCF of Denominators means GCF of 204,242 as per the given fractions.

GCF of 204,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,4146

LCM of Fractions 802/204,4146/242 is 831273

2 802, 4146
401, 2073

∴ So the LCM of the given numbers is 2 x 401 x 2073 = 1662546

Least Common Multiple of 802,4146 with GCF Formula

Least Common Multiple of 802,4146 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 802,4146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,4146) = 2

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

GCF(802,4146) x common factors =2 x 1 = 2

LCM(802,4146) = ( 802 × 4146 ) / 2

LCM(802,4146) = 3325092 / 2

LCM(802,4146) = 1662546


Lets's calculate GCF of 204,242

2 204, 242
102, 121

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1662546/2

Therefore the LCM of Fractions 802/204,4146/242 is 831273

Greatest Common Factor of 204,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,242 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 204,242 . The biggest common factor number is the GCF number.
So the greatest common factor 204,242 is 2.


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 802/204, 4146/242

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 802/204, 4146/242?

Answer: LCM of Numerators as per given numbers 802/204, 4146/242 is

LCM of Numerators i.e. for 802,4146 is 1662546

GCF of denominators i.e. for 204,242 is 2.

Thus, LCM of Fractions is 831273.Finally, LCM of Fractions for 802/204, 4146/242 is 831273.