Least Common Multiple of 204/74, 849/2669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/74, 849/2669 quickly i.e. 57732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/74, 849/2669 is 57732.

LCM(204/74, 849/2669) = 57732

LCM of 204/74, 849/2669

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 204/74,849/2669

Given numbers are 204/74,849/2669

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 204,849

Least Common Multiple of Numerators i.e. LCM of 204,849 is 57732.

GCF of Denominators means GCF of 74,2669 as per the given fractions.

GCF of 74,2669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,849

LCM of Fractions 204/74,849/2669 is 57732

3 204, 849
68, 283

∴ So the LCM of the given numbers is 3 x 68 x 283 = 57732

Least Common Multiple of 204,849 with GCF Formula

Least Common Multiple of 204,849 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 204,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,849) = 3

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

GCF(204,849) x common factors =3 x 1 = 3

LCM(204,849) = ( 204 × 849 ) / 3

LCM(204,849) = 173196 / 3

LCM(204,849) = 57732


Lets's calculate GCF of 74,2669

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57732/1

Therefore the LCM of Fractions 204/74,849/2669 is 57732

Greatest Common Factor of 74,2669 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,2669 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 2669

List of positive integer factors of 2669 that divides 2669 without a remainder.

1,17,157,2669

Greatest Common Factor

We found the factors 74,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2669 is 1.


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 204/74, 849/2669

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 204/74, 849/2669?

Answer: LCM of Numerators as per given numbers 204/74, 849/2669 is

LCM of Numerators i.e. for 204,849 is 57732

GCF of denominators i.e. for 74,2669 is 1.

Thus, LCM of Fractions is 57732.Finally, LCM of Fractions for 204/74, 849/2669 is 57732.