Least Common Multiple of 231/22, 182/99, 349/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/22, 182/99, 349/374 quickly i.e. 190554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/22, 182/99, 349/374 is 190554.

LCM(231/22, 182/99, 349/374) = 190554

LCM of 231/22, 182/99, 349/374

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 231/22,182/99,349/374

Given numbers are 231/22,182/99,349/374

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 231,182,349

Least Common Multiple of Numerators i.e. LCM of 231,182,349 is 2096094.

GCF of Denominators means GCF of 22,99,374 as per the given fractions.

GCF of 22,99,374 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,182,349

LCM of Fractions 231/22,182/99,349/374 is 190554

7 231, 182, 349
33, 26, 349

∴ So the LCM of the given numbers is 7 x 33 x 26 x 349 = 2096094

Least Common Multiple of 231,182,349 with GCF Formula

Least Common Multiple of 231,182,349 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 231,182,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,182,349) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(231,182,349) x common factors =1 x 7 = 7

LCM(231,182,349) = ( 231 × 182 × 349 ) / 7

LCM(231,182,349) = 14672658 / 7

LCM(231,182,349) = 2096094


Lets's calculate GCF of 22,99,374

11 22, 99, 374
2, 9, 34

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2096094/11

Therefore the LCM of Fractions 231/22,182/99,349/374 is 190554

Greatest Common Factor of 22,99,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,99,374 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 22,99,374 . The biggest common factor number is the GCF number.
So the greatest common factor 22,99,374 is 11.


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 231/22, 182/99, 349/374

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 231/22, 182/99, 349/374?

Answer: LCM of Numerators as per given numbers 231/22, 182/99, 349/374 is

LCM of Numerators i.e. for 231,182,349 is 2096094

GCF of denominators i.e. for 22,99,374 is 11.

Thus, LCM of Fractions is 190554.Finally, LCM of Fractions for 231/22, 182/99, 349/374 is 190554.