Least Common Multiple of 6422/129, 3771/2214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6422/129, 3771/2214 quickly i.e. 8072454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6422/129, 3771/2214 is 8072454.

LCM(6422/129, 3771/2214) = 8072454

LCM of 6422/129, 3771/2214

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 6422/129,3771/2214

Given numbers are 6422/129,3771/2214

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 6422,3771

Least Common Multiple of Numerators i.e. LCM of 6422,3771 is 24217362.

GCF of Denominators means GCF of 129,2214 as per the given fractions.

GCF of 129,2214 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6422,3771

LCM of Fractions 6422/129,3771/2214 is 8072454

Given numbers has no common factors except 1. So, there LCM is their product i.e 24217362

Least Common Multiple of 6422,3771 with GCF Formula

Least Common Multiple of 6422,3771 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 6422,3771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6422,3771) = 1

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

GCF(6422,3771) x common factors =1 x 1 = 1

LCM(6422,3771) = ( 6422 × 3771 ) / 1

LCM(6422,3771) = 24217362 / 1

LCM(6422,3771) = 24217362


Lets's calculate GCF of 129,2214

3 129, 2214
43, 738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24217362/3

Therefore the LCM of Fractions 6422/129,3771/2214 is 8072454

Greatest Common Factor of 129,2214 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,2214 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Greatest Common Factor

We found the factors 129,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 129,2214 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6422/129, 3771/2214

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 6422/129, 3771/2214?

Answer: LCM of Numerators as per given numbers 6422/129, 3771/2214 is

LCM of Numerators i.e. for 6422,3771 is 24217362

GCF of denominators i.e. for 129,2214 is 3.

Thus, LCM of Fractions is 8072454.Finally, LCM of Fractions for 6422/129, 3771/2214 is 8072454.