Least Common Multiple of 550/27, 923/97, 209/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 550/27, 923/97, 209/304 quickly i.e. 9645350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/27, 923/97, 209/304 is 9645350.

LCM(550/27, 923/97, 209/304) = 9645350

LCM of 550/27, 923/97, 209/304

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 550/27,923/97,209/304

Given numbers are 550/27,923/97,209/304

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 550,923,209

Least Common Multiple of Numerators i.e. LCM of 550,923,209 is 9645350.

GCF of Denominators means GCF of 27,97,304 as per the given fractions.

GCF of 27,97,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,923,209

LCM of Fractions 550/27,923/97,209/304 is 9645350

11 550, 923, 209
50, 923, 19

∴ So the LCM of the given numbers is 11 x 50 x 923 x 19 = 9645350

Least Common Multiple of 550,923,209 with GCF Formula

Least Common Multiple of 550,923,209 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 550,923,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,923,209) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(550,923,209) x common factors =1 x 11 = 11

LCM(550,923,209) = ( 550 × 923 × 209 ) / 11

LCM(550,923,209) = 106098850 / 11

LCM(550,923,209) = 9645350


Lets's calculate GCF of 27,97,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9645350/1

Therefore the LCM of Fractions 550/27,923/97,209/304 is 9645350

Greatest Common Factor of 27,97,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,97,304 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 27,97,304 . The biggest common factor number is the GCF number.
So the greatest common factor 27,97,304 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 550/27, 923/97, 209/304

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 550/27, 923/97, 209/304?

Answer: LCM of Numerators as per given numbers 550/27, 923/97, 209/304 is

LCM of Numerators i.e. for 550,923,209 is 9645350

GCF of denominators i.e. for 27,97,304 is 1.

Thus, LCM of Fractions is 9645350.Finally, LCM of Fractions for 550/27, 923/97, 209/304 is 9645350.