Least Common Multiple of 419/82, 483/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 419/82, 483/376 quickly i.e. 202377/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/82, 483/376 is 202377/2.

LCM(419/82, 483/376) = 202377/2

LCM of 419/82, 483/376

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 419/82,483/376

Given numbers are 419/82,483/376

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 419,483

Least Common Multiple of Numerators i.e. LCM of 419,483 is 202377.

GCF of Denominators means GCF of 82,376 as per the given fractions.

GCF of 82,376 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,483

LCM of Fractions 419/82,483/376 is 202377/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 202377

Least Common Multiple of 419,483 with GCF Formula

Least Common Multiple of 419,483 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 419,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,483) = 1

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

GCF(419,483) x common factors =1 x 1 = 1

LCM(419,483) = ( 419 × 483 ) / 1

LCM(419,483) = 202377 / 1

LCM(419,483) = 202377


Lets's calculate GCF of 82,376

2 82, 376
41, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202377/2

Therefore the LCM of Fractions 419/82,483/376 is 202377/2

Greatest Common Factor of 82,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,376 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 82,376 . The biggest common factor number is the GCF number.
So the greatest common factor 82,376 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 419/82, 483/376

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 419/82, 483/376?

Answer: LCM of Numerators as per given numbers 419/82, 483/376 is

LCM of Numerators i.e. for 419,483 is 202377

GCF of denominators i.e. for 82,376 is 2.

Thus, LCM of Fractions is 202377/2.Finally, LCM of Fractions for 419/82, 483/376 is 202377/2.