Least Common Multiple of 348/449, 317/500, 271/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/449, 317/500, 271/824 quickly i.e. 29895636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/449, 317/500, 271/824 is 29895636.

LCM(348/449, 317/500, 271/824) = 29895636

LCM of 348/449, 317/500, 271/824

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 348/449,317/500,271/824

Given numbers are 348/449,317/500,271/824

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 348,317,271

Least Common Multiple of Numerators i.e. LCM of 348,317,271 is 29895636.

GCF of Denominators means GCF of 449,500,824 as per the given fractions.

GCF of 449,500,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,317,271

LCM of Fractions 348/449,317/500,271/824 is 29895636

Given numbers has no common factors except 1. So, there LCM is their product i.e 29895636

Least Common Multiple of 348,317,271 with GCF Formula

Least Common Multiple of 348,317,271 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 348,317,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,317,271) = 1

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

GCF(348,317,271) x common factors =1 x 1 = 1

LCM(348,317,271) = ( 348 × 317 × 271 ) / 1

LCM(348,317,271) = 29895636 / 1

LCM(348,317,271) = 29895636


Lets's calculate GCF of 449,500,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29895636/1

Therefore the LCM of Fractions 348/449,317/500,271/824 is 29895636

Greatest Common Factor of 449,500,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,500,824 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 449,500,824 . The biggest common factor number is the GCF number.
So the greatest common factor 449,500,824 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 348/449, 317/500, 271/824

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 348/449, 317/500, 271/824?

Answer: LCM of Numerators as per given numbers 348/449, 317/500, 271/824 is

LCM of Numerators i.e. for 348,317,271 is 29895636

GCF of denominators i.e. for 449,500,824 is 1.

Thus, LCM of Fractions is 29895636.Finally, LCM of Fractions for 348/449, 317/500, 271/824 is 29895636.