Least Common Multiple of 283/643, 923/523, 109/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/643, 923/523, 109/492 quickly i.e. 28471781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/643, 923/523, 109/492 is 28471781.

LCM(283/643, 923/523, 109/492) = 28471781

LCM of 283/643, 923/523, 109/492

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 283/643,923/523,109/492

Given numbers are 283/643,923/523,109/492

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 283,923,109

Least Common Multiple of Numerators i.e. LCM of 283,923,109 is 28471781.

GCF of Denominators means GCF of 643,523,492 as per the given fractions.

GCF of 643,523,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,923,109

LCM of Fractions 283/643,923/523,109/492 is 28471781

Given numbers has no common factors except 1. So, there LCM is their product i.e 28471781

Least Common Multiple of 283,923,109 with GCF Formula

Least Common Multiple of 283,923,109 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 283,923,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,923,109) = 1

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

GCF(283,923,109) x common factors =1 x 1 = 1

LCM(283,923,109) = ( 283 × 923 × 109 ) / 1

LCM(283,923,109) = 28471781 / 1

LCM(283,923,109) = 28471781


Lets's calculate GCF of 643,523,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28471781/1

Therefore the LCM of Fractions 283/643,923/523,109/492 is 28471781

Greatest Common Factor of 643,523,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,523,492 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 643,523,492 . The biggest common factor number is the GCF number.
So the greatest common factor 643,523,492 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 283/643, 923/523, 109/492

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 283/643, 923/523, 109/492?

Answer: LCM of Numerators as per given numbers 283/643, 923/523, 109/492 is

LCM of Numerators i.e. for 283,923,109 is 28471781

GCF of denominators i.e. for 643,523,492 is 1.

Thus, LCM of Fractions is 28471781.Finally, LCM of Fractions for 283/643, 923/523, 109/492 is 28471781.