Least Common Multiple of 83/204, 56/380, 304/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/204, 56/380, 304/442 quickly i.e. 88312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/204, 56/380, 304/442 is 88312.

LCM(83/204, 56/380, 304/442) = 88312

LCM of 83/204, 56/380, 304/442

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 83/204,56/380,304/442

Given numbers are 83/204,56/380,304/442

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 83,56,304

Least Common Multiple of Numerators i.e. LCM of 83,56,304 is 176624.

GCF of Denominators means GCF of 204,380,442 as per the given fractions.

GCF of 204,380,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,56,304

LCM of Fractions 83/204,56/380,304/442 is 88312

2 83, 56, 304
2 83, 28, 152
2 83, 14, 76
83, 7, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 7 x 38 = 176624

Least Common Multiple of 83,56,304 with GCF Formula

Least Common Multiple of 83,56,304 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 83,56,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,56,304) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(83,56,304) x common factors =1 x 8 = 8

LCM(83,56,304) = ( 83 × 56 × 304 ) / 8

LCM(83,56,304) = 1412992 / 8

LCM(83,56,304) = 176624


Lets's calculate GCF of 204,380,442

2 204, 380, 442
102, 190, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176624/2

Therefore the LCM of Fractions 83/204,56/380,304/442 is 88312

Greatest Common Factor of 204,380,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,380,442 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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 204,380,442 . The biggest common factor number is the GCF number.
So the greatest common factor 204,380,442 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 83/204, 56/380, 304/442

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 83/204, 56/380, 304/442?

Answer: LCM of Numerators as per given numbers 83/204, 56/380, 304/442 is

LCM of Numerators i.e. for 83,56,304 is 176624

GCF of denominators i.e. for 204,380,442 is 2.

Thus, LCM of Fractions is 88312.Finally, LCM of Fractions for 83/204, 56/380, 304/442 is 88312.