Least Common Multiple of 338/646, 896/268, 309/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/646, 896/268, 309/803 quickly i.e. 46790016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/646, 896/268, 309/803 is 46790016.

LCM(338/646, 896/268, 309/803) = 46790016

LCM of 338/646, 896/268, 309/803

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 338/646,896/268,309/803

Given numbers are 338/646,896/268,309/803

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 338,896,309

Least Common Multiple of Numerators i.e. LCM of 338,896,309 is 46790016.

GCF of Denominators means GCF of 646,268,803 as per the given fractions.

GCF of 646,268,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,896,309

LCM of Fractions 338/646,896/268,309/803 is 46790016

2 338, 896, 309
169, 448, 309

∴ So the LCM of the given numbers is 2 x 169 x 448 x 309 = 46790016

Least Common Multiple of 338,896,309 with GCF Formula

Least Common Multiple of 338,896,309 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 338,896,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,896,309) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(338,896,309) x common factors =1 x 2 = 2

LCM(338,896,309) = ( 338 × 896 × 309 ) / 2

LCM(338,896,309) = 93580032 / 2

LCM(338,896,309) = 46790016


Lets's calculate GCF of 646,268,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46790016/1

Therefore the LCM of Fractions 338/646,896/268,309/803 is 46790016

Greatest Common Factor of 646,268,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,268,803 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 646,268,803 . The biggest common factor number is the GCF number.
So the greatest common factor 646,268,803 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 338/646, 896/268, 309/803

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 338/646, 896/268, 309/803?

Answer: LCM of Numerators as per given numbers 338/646, 896/268, 309/803 is

LCM of Numerators i.e. for 338,896,309 is 46790016

GCF of denominators i.e. for 646,268,803 is 1.

Thus, LCM of Fractions is 46790016.Finally, LCM of Fractions for 338/646, 896/268, 309/803 is 46790016.