Least Common Multiple of 82/454, 19/531, 404/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/454, 19/531, 404/727 quickly i.e. 314716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/454, 19/531, 404/727 is 314716.

LCM(82/454, 19/531, 404/727) = 314716

LCM of 82/454, 19/531, 404/727

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 82/454,19/531,404/727

Given numbers are 82/454,19/531,404/727

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 82,19,404

Least Common Multiple of Numerators i.e. LCM of 82,19,404 is 314716.

GCF of Denominators means GCF of 454,531,727 as per the given fractions.

GCF of 454,531,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,19,404

LCM of Fractions 82/454,19/531,404/727 is 314716

2 82, 19, 404
41, 19, 202

∴ So the LCM of the given numbers is 2 x 41 x 19 x 202 = 314716

Least Common Multiple of 82,19,404 with GCF Formula

Least Common Multiple of 82,19,404 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 82,19,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,19,404) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,19,404) x common factors =1 x 2 = 2

LCM(82,19,404) = ( 82 × 19 × 404 ) / 2

LCM(82,19,404) = 629432 / 2

LCM(82,19,404) = 314716


Lets's calculate GCF of 454,531,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314716/1

Therefore the LCM of Fractions 82/454,19/531,404/727 is 314716

Greatest Common Factor of 454,531,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,531,727 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 454,531,727 . The biggest common factor number is the GCF number.
So the greatest common factor 454,531,727 is 1.


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 82/454, 19/531, 404/727

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 82/454, 19/531, 404/727?

Answer: LCM of Numerators as per given numbers 82/454, 19/531, 404/727 is

LCM of Numerators i.e. for 82,19,404 is 314716

GCF of denominators i.e. for 454,531,727 is 1.

Thus, LCM of Fractions is 314716.Finally, LCM of Fractions for 82/454, 19/531, 404/727 is 314716.