Least Common Multiple of 4769/204, 6821/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4769/204, 6821/386 quickly i.e. 1712071/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4769/204, 6821/386 is 1712071/2.

LCM(4769/204, 6821/386) = 1712071/2

LCM of 4769/204, 6821/386

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 4769/204,6821/386

Given numbers are 4769/204,6821/386

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 4769,6821

Least Common Multiple of Numerators i.e. LCM of 4769,6821 is 1712071.

GCF of Denominators means GCF of 204,386 as per the given fractions.

GCF of 204,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4769,6821

LCM of Fractions 4769/204,6821/386 is 1712071/2

19 4769, 6821
251, 359

∴ So the LCM of the given numbers is 19 x 251 x 359 = 1712071

Least Common Multiple of 4769,6821 with GCF Formula

Least Common Multiple of 4769,6821 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 4769,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4769,6821) = 19

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

GCF(4769,6821) x common factors =19 x 1 = 19

LCM(4769,6821) = ( 4769 × 6821 ) / 19

LCM(4769,6821) = 32529349 / 19

LCM(4769,6821) = 1712071


Lets's calculate GCF of 204,386

2 204, 386
102, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1712071/2

Therefore the LCM of Fractions 4769/204,6821/386 is 1712071/2

Greatest Common Factor of 204,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,386 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 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 204,386 . The biggest common factor number is the GCF number.
So the greatest common factor 204,386 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 4769/204, 6821/386

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 4769/204, 6821/386?

Answer: LCM of Numerators as per given numbers 4769/204, 6821/386 is

LCM of Numerators i.e. for 4769,6821 is 1712071

GCF of denominators i.e. for 204,386 is 2.

Thus, LCM of Fractions is 1712071/2.Finally, LCM of Fractions for 4769/204, 6821/386 is 1712071/2.