Least Common Multiple of 6441/27, 1212/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6441/27, 1212/800 quickly i.e. 2602164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6441/27, 1212/800 is 2602164.

LCM(6441/27, 1212/800) = 2602164

LCM of 6441/27, 1212/800

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 6441/27,1212/800

Given numbers are 6441/27,1212/800

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 6441,1212

Least Common Multiple of Numerators i.e. LCM of 6441,1212 is 2602164.

GCF of Denominators means GCF of 27,800 as per the given fractions.

GCF of 27,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6441,1212

LCM of Fractions 6441/27,1212/800 is 2602164

3 6441, 1212
2147, 404

∴ So the LCM of the given numbers is 3 x 2147 x 404 = 2602164

Least Common Multiple of 6441,1212 with GCF Formula

Least Common Multiple of 6441,1212 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 6441,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6441,1212) = 3

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

GCF(6441,1212) x common factors =3 x 1 = 3

LCM(6441,1212) = ( 6441 × 1212 ) / 3

LCM(6441,1212) = 7806492 / 3

LCM(6441,1212) = 2602164


Lets's calculate GCF of 27,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2602164/1

Therefore the LCM of Fractions 6441/27,1212/800 is 2602164

Greatest Common Factor of 27,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,800 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 27,800 . The biggest common factor number is the GCF number.
So the greatest common factor 27,800 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6441/27, 1212/800

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 6441/27, 1212/800?

Answer: LCM of Numerators as per given numbers 6441/27, 1212/800 is

LCM of Numerators i.e. for 6441,1212 is 2602164

GCF of denominators i.e. for 27,800 is 1.

Thus, LCM of Fractions is 2602164.Finally, LCM of Fractions for 6441/27, 1212/800 is 2602164.