Least Common Multiple of 242/156, 667/286, 727/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/156, 667/286, 727/923 quickly i.e. 117347978/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/156, 667/286, 727/923 is 117347978/13.

LCM(242/156, 667/286, 727/923) = 117347978/13

LCM of 242/156, 667/286, 727/923

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 242/156,667/286,727/923

Given numbers are 242/156,667/286,727/923

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 242,667,727

Least Common Multiple of Numerators i.e. LCM of 242,667,727 is 117347978.

GCF of Denominators means GCF of 156,286,923 as per the given fractions.

GCF of 156,286,923 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,667,727

LCM of Fractions 242/156,667/286,727/923 is 117347978/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 117347978

Least Common Multiple of 242,667,727 with GCF Formula

Least Common Multiple of 242,667,727 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 242,667,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,667,727) = 1

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

GCF(242,667,727) x common factors =1 x 1 = 1

LCM(242,667,727) = ( 242 × 667 × 727 ) / 1

LCM(242,667,727) = 117347978 / 1

LCM(242,667,727) = 117347978


Lets's calculate GCF of 156,286,923

13 156, 286, 923
12, 22, 71

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117347978/13

Therefore the LCM of Fractions 242/156,667/286,727/923 is 117347978/13

Greatest Common Factor of 156,286,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,286,923 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 156,286,923 . The biggest common factor number is the GCF number.
So the greatest common factor 156,286,923 is 13.


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 242/156, 667/286, 727/923

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 242/156, 667/286, 727/923?

Answer: LCM of Numerators as per given numbers 242/156, 667/286, 727/923 is

LCM of Numerators i.e. for 242,667,727 is 117347978

GCF of denominators i.e. for 156,286,923 is 13.

Thus, LCM of Fractions is 117347978/13.Finally, LCM of Fractions for 242/156, 667/286, 727/923 is 117347978/13.