Least Common Multiple of 843/643, 639/916, 286/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/643, 639/916, 286/345 quickly i.e. 51353874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/643, 639/916, 286/345 is 51353874.

LCM(843/643, 639/916, 286/345) = 51353874

LCM of 843/643, 639/916, 286/345

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 843/643,639/916,286/345

Given numbers are 843/643,639/916,286/345

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 843,639,286

Least Common Multiple of Numerators i.e. LCM of 843,639,286 is 51353874.

GCF of Denominators means GCF of 643,916,345 as per the given fractions.

GCF of 643,916,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,639,286

LCM of Fractions 843/643,639/916,286/345 is 51353874

3 843, 639, 286
281, 213, 286

∴ So the LCM of the given numbers is 3 x 281 x 213 x 286 = 51353874

Least Common Multiple of 843,639,286 with GCF Formula

Least Common Multiple of 843,639,286 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 843,639,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,639,286) = 1

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

GCF(843,639,286) x common factors =1 x 3 = 3

LCM(843,639,286) = ( 843 × 639 × 286 ) / 3

LCM(843,639,286) = 154061622 / 3

LCM(843,639,286) = 51353874


Lets's calculate GCF of 643,916,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51353874/1

Therefore the LCM of Fractions 843/643,639/916,286/345 is 51353874

Greatest Common Factor of 643,916,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,916,345 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 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 643,916,345 . The biggest common factor number is the GCF number.
So the greatest common factor 643,916,345 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 843/643, 639/916, 286/345

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 843/643, 639/916, 286/345?

Answer: LCM of Numerators as per given numbers 843/643, 639/916, 286/345 is

LCM of Numerators i.e. for 843,639,286 is 51353874

GCF of denominators i.e. for 643,916,345 is 1.

Thus, LCM of Fractions is 51353874.Finally, LCM of Fractions for 843/643, 639/916, 286/345 is 51353874.