Least Common Multiple of 6453/622, 7284/3882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6453/622, 7284/3882 quickly i.e. 7833942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6453/622, 7284/3882 is 7833942.

LCM(6453/622, 7284/3882) = 7833942

LCM of 6453/622, 7284/3882

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 6453/622,7284/3882

Given numbers are 6453/622,7284/3882

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 6453,7284

Least Common Multiple of Numerators i.e. LCM of 6453,7284 is 15667884.

GCF of Denominators means GCF of 622,3882 as per the given fractions.

GCF of 622,3882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6453,7284

LCM of Fractions 6453/622,7284/3882 is 7833942

3 6453, 7284
2151, 2428

∴ So the LCM of the given numbers is 3 x 2151 x 2428 = 15667884

Least Common Multiple of 6453,7284 with GCF Formula

Least Common Multiple of 6453,7284 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 6453,7284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6453,7284) = 3

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

GCF(6453,7284) x common factors =3 x 1 = 3

LCM(6453,7284) = ( 6453 × 7284 ) / 3

LCM(6453,7284) = 47003652 / 3

LCM(6453,7284) = 15667884


Lets's calculate GCF of 622,3882

2 622, 3882
311, 1941

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15667884/2

Therefore the LCM of Fractions 6453/622,7284/3882 is 7833942

Greatest Common Factor of 622,3882 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,3882 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 3882

List of positive integer factors of 3882 that divides 3882 without a remainder.

1,2,3,6,647,1294,1941,3882

Greatest Common Factor

We found the factors 622,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 622,3882 is 2.


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 6453/622, 7284/3882

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 6453/622, 7284/3882?

Answer: LCM of Numerators as per given numbers 6453/622, 7284/3882 is

LCM of Numerators i.e. for 6453,7284 is 15667884

GCF of denominators i.e. for 622,3882 is 2.

Thus, LCM of Fractions is 7833942.Finally, LCM of Fractions for 6453/622, 7284/3882 is 7833942.