Least Common Multiple of 69/323, 103/745, 871/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/323, 103/745, 871/581 quickly i.e. 6190197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/323, 103/745, 871/581 is 6190197.

LCM(69/323, 103/745, 871/581) = 6190197

LCM of 69/323, 103/745, 871/581

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 69/323,103/745,871/581

Given numbers are 69/323,103/745,871/581

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 69,103,871

Least Common Multiple of Numerators i.e. LCM of 69,103,871 is 6190197.

GCF of Denominators means GCF of 323,745,581 as per the given fractions.

GCF of 323,745,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,103,871

LCM of Fractions 69/323,103/745,871/581 is 6190197

Given numbers has no common factors except 1. So, there LCM is their product i.e 6190197

Least Common Multiple of 69,103,871 with GCF Formula

Least Common Multiple of 69,103,871 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 69,103,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,103,871) = 1

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

GCF(69,103,871) x common factors =1 x 1 = 1

LCM(69,103,871) = ( 69 × 103 × 871 ) / 1

LCM(69,103,871) = 6190197 / 1

LCM(69,103,871) = 6190197


Lets's calculate GCF of 323,745,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6190197/1

Therefore the LCM of Fractions 69/323,103/745,871/581 is 6190197

Greatest Common Factor of 323,745,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,745,581 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 323,745,581 . The biggest common factor number is the GCF number.
So the greatest common factor 323,745,581 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 69/323, 103/745, 871/581

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 69/323, 103/745, 871/581?

Answer: LCM of Numerators as per given numbers 69/323, 103/745, 871/581 is

LCM of Numerators i.e. for 69,103,871 is 6190197

GCF of denominators i.e. for 323,745,581 is 1.

Thus, LCM of Fractions is 6190197.Finally, LCM of Fractions for 69/323, 103/745, 871/581 is 6190197.