Least Common Multiple of 31/194, 48/476, 309/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/194, 48/476, 309/336 quickly i.e. 76632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/194, 48/476, 309/336 is 76632.

LCM(31/194, 48/476, 309/336) = 76632

LCM of 31/194, 48/476, 309/336

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 31/194,48/476,309/336

Given numbers are 31/194,48/476,309/336

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 31,48,309

Least Common Multiple of Numerators i.e. LCM of 31,48,309 is 153264.

GCF of Denominators means GCF of 194,476,336 as per the given fractions.

GCF of 194,476,336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,48,309

LCM of Fractions 31/194,48/476,309/336 is 76632

3 31, 48, 309
31, 16, 103

∴ So the LCM of the given numbers is 3 x 31 x 16 x 103 = 153264

Least Common Multiple of 31,48,309 with GCF Formula

Least Common Multiple of 31,48,309 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 31,48,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,48,309) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,48,309) x common factors =1 x 3 = 3

LCM(31,48,309) = ( 31 × 48 × 309 ) / 3

LCM(31,48,309) = 459792 / 3

LCM(31,48,309) = 153264


Lets's calculate GCF of 194,476,336

2 194, 476, 336
97, 238, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153264/2

Therefore the LCM of Fractions 31/194,48/476,309/336 is 76632

Greatest Common Factor of 194,476,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,476,336 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 194,476,336 . The biggest common factor number is the GCF number.
So the greatest common factor 194,476,336 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 31/194, 48/476, 309/336

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 31/194, 48/476, 309/336?

Answer: LCM of Numerators as per given numbers 31/194, 48/476, 309/336 is

LCM of Numerators i.e. for 31,48,309 is 153264

GCF of denominators i.e. for 194,476,336 is 2.

Thus, LCM of Fractions is 76632.Finally, LCM of Fractions for 31/194, 48/476, 309/336 is 76632.