Least Common Multiple of 461/82, 437/6932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/82, 437/6932 quickly i.e. 201457/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/82, 437/6932 is 201457/2.

LCM(461/82, 437/6932) = 201457/2

LCM of 461/82, 437/6932

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 461/82,437/6932

Given numbers are 461/82,437/6932

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 461,437

Least Common Multiple of Numerators i.e. LCM of 461,437 is 201457.

GCF of Denominators means GCF of 82,6932 as per the given fractions.

GCF of 82,6932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,437

LCM of Fractions 461/82,437/6932 is 201457/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 201457

Least Common Multiple of 461,437 with GCF Formula

Least Common Multiple of 461,437 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 461,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,437) = 1

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

GCF(461,437) x common factors =1 x 1 = 1

LCM(461,437) = ( 461 × 437 ) / 1

LCM(461,437) = 201457 / 1

LCM(461,437) = 201457


Lets's calculate GCF of 82,6932

2 82, 6932
41, 3466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201457/2

Therefore the LCM of Fractions 461/82,437/6932 is 201457/2

Greatest Common Factor of 82,6932 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,6932 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 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1,2,4,1733,3466,6932

Greatest Common Factor

We found the factors 82,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 82,6932 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 461/82, 437/6932

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 461/82, 437/6932?

Answer: LCM of Numerators as per given numbers 461/82, 437/6932 is

LCM of Numerators i.e. for 461,437 is 201457

GCF of denominators i.e. for 82,6932 is 2.

Thus, LCM of Fractions is 201457/2.Finally, LCM of Fractions for 461/82, 437/6932 is 201457/2.