Least Common Multiple of 642/12, 6884/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/12, 6884/843 quickly i.e. 736588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/12, 6884/843 is 736588.

LCM(642/12, 6884/843) = 736588

LCM of 642/12, 6884/843

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 642/12,6884/843

Given numbers are 642/12,6884/843

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 642,6884

Least Common Multiple of Numerators i.e. LCM of 642,6884 is 2209764.

GCF of Denominators means GCF of 12,843 as per the given fractions.

GCF of 12,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,6884

LCM of Fractions 642/12,6884/843 is 736588

2 642, 6884
321, 3442

∴ So the LCM of the given numbers is 2 x 321 x 3442 = 2209764

Least Common Multiple of 642,6884 with GCF Formula

Least Common Multiple of 642,6884 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 642,6884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,6884) = 2

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

GCF(642,6884) x common factors =2 x 1 = 2

LCM(642,6884) = ( 642 × 6884 ) / 2

LCM(642,6884) = 4419528 / 2

LCM(642,6884) = 2209764


Lets's calculate GCF of 12,843

3 12, 843
4, 281

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2209764/3

Therefore the LCM of Fractions 642/12,6884/843 is 736588

Greatest Common Factor of 12,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,843 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 12,843 . The biggest common factor number is the GCF number.
So the greatest common factor 12,843 is 3.


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 642/12, 6884/843

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 642/12, 6884/843?

Answer: LCM of Numerators as per given numbers 642/12, 6884/843 is

LCM of Numerators i.e. for 642,6884 is 2209764

GCF of denominators i.e. for 12,843 is 3.

Thus, LCM of Fractions is 736588.Finally, LCM of Fractions for 642/12, 6884/843 is 736588.