Least Common Multiple of 82/456, 31/623, 317/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/456, 31/623, 317/326 quickly i.e. 805814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/456, 31/623, 317/326 is 805814.

LCM(82/456, 31/623, 317/326) = 805814

LCM of 82/456, 31/623, 317/326

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 82/456,31/623,317/326

Given numbers are 82/456,31/623,317/326

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 82,31,317

Least Common Multiple of Numerators i.e. LCM of 82,31,317 is 805814.

GCF of Denominators means GCF of 456,623,326 as per the given fractions.

GCF of 456,623,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,31,317

LCM of Fractions 82/456,31/623,317/326 is 805814

Given numbers has no common factors except 1. So, there LCM is their product i.e 805814

Least Common Multiple of 82,31,317 with GCF Formula

Least Common Multiple of 82,31,317 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 82,31,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,31,317) = 1

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

GCF(82,31,317) x common factors =1 x 1 = 1

LCM(82,31,317) = ( 82 × 31 × 317 ) / 1

LCM(82,31,317) = 805814 / 1

LCM(82,31,317) = 805814


Lets's calculate GCF of 456,623,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805814/1

Therefore the LCM of Fractions 82/456,31/623,317/326 is 805814

Greatest Common Factor of 456,623,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,623,326 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 456,623,326 . The biggest common factor number is the GCF number.
So the greatest common factor 456,623,326 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 82/456, 31/623, 317/326

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 82/456, 31/623, 317/326?

Answer: LCM of Numerators as per given numbers 82/456, 31/623, 317/326 is

LCM of Numerators i.e. for 82,31,317 is 805814

GCF of denominators i.e. for 456,623,326 is 1.

Thus, LCM of Fractions is 805814.Finally, LCM of Fractions for 82/456, 31/623, 317/326 is 805814.