Least Common Multiple of 323/714, 869/893, 931/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/714, 869/893, 931/382 quickly i.e. 13753663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/714, 869/893, 931/382 is 13753663.

LCM(323/714, 869/893, 931/382) = 13753663

LCM of 323/714, 869/893, 931/382

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 323/714,869/893,931/382

Given numbers are 323/714,869/893,931/382

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 323,869,931

Least Common Multiple of Numerators i.e. LCM of 323,869,931 is 13753663.

GCF of Denominators means GCF of 714,893,382 as per the given fractions.

GCF of 714,893,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,869,931

LCM of Fractions 323/714,869/893,931/382 is 13753663

19 323, 869, 931
17, 869, 49

∴ So the LCM of the given numbers is 19 x 17 x 869 x 49 = 13753663

Least Common Multiple of 323,869,931 with GCF Formula

Least Common Multiple of 323,869,931 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 323,869,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,869,931) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(323,869,931) x common factors =1 x 19 = 19

LCM(323,869,931) = ( 323 × 869 × 931 ) / 19

LCM(323,869,931) = 261319597 / 19

LCM(323,869,931) = 13753663


Lets's calculate GCF of 714,893,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13753663/1

Therefore the LCM of Fractions 323/714,869/893,931/382 is 13753663

Greatest Common Factor of 714,893,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,893,382 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 714,893,382 . The biggest common factor number is the GCF number.
So the greatest common factor 714,893,382 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 323/714, 869/893, 931/382

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 323/714, 869/893, 931/382?

Answer: LCM of Numerators as per given numbers 323/714, 869/893, 931/382 is

LCM of Numerators i.e. for 323,869,931 is 13753663

GCF of denominators i.e. for 714,893,382 is 1.

Thus, LCM of Fractions is 13753663.Finally, LCM of Fractions for 323/714, 869/893, 931/382 is 13753663.