Least Common Multiple of 6402/332, 1821/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6402/332, 1821/459 quickly i.e. 3886014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6402/332, 1821/459 is 3886014.

LCM(6402/332, 1821/459) = 3886014

LCM of 6402/332, 1821/459

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 6402/332,1821/459

Given numbers are 6402/332,1821/459

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 6402,1821

Least Common Multiple of Numerators i.e. LCM of 6402,1821 is 3886014.

GCF of Denominators means GCF of 332,459 as per the given fractions.

GCF of 332,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6402,1821

LCM of Fractions 6402/332,1821/459 is 3886014

3 6402, 1821
2134, 607

∴ So the LCM of the given numbers is 3 x 2134 x 607 = 3886014

Least Common Multiple of 6402,1821 with GCF Formula

Least Common Multiple of 6402,1821 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 6402,1821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6402,1821) = 3

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

GCF(6402,1821) x common factors =3 x 1 = 3

LCM(6402,1821) = ( 6402 × 1821 ) / 3

LCM(6402,1821) = 11658042 / 3

LCM(6402,1821) = 3886014


Lets's calculate GCF of 332,459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3886014/1

Therefore the LCM of Fractions 6402/332,1821/459 is 3886014

Greatest Common Factor of 332,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,459 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 332,459 . The biggest common factor number is the GCF number.
So the greatest common factor 332,459 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6402/332, 1821/459

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 6402/332, 1821/459?

Answer: LCM of Numerators as per given numbers 6402/332, 1821/459 is

LCM of Numerators i.e. for 6402,1821 is 3886014

GCF of denominators i.e. for 332,459 is 1.

Thus, LCM of Fractions is 3886014.Finally, LCM of Fractions for 6402/332, 1821/459 is 3886014.