Least Common Multiple of 80/530, 343/589, 694/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/530, 343/589, 694/182 quickly i.e. 9521680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/530, 343/589, 694/182 is 9521680.

LCM(80/530, 343/589, 694/182) = 9521680

LCM of 80/530, 343/589, 694/182

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 80/530,343/589,694/182

Given numbers are 80/530,343/589,694/182

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 80,343,694

Least Common Multiple of Numerators i.e. LCM of 80,343,694 is 9521680.

GCF of Denominators means GCF of 530,589,182 as per the given fractions.

GCF of 530,589,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,343,694

LCM of Fractions 80/530,343/589,694/182 is 9521680

2 80, 343, 694
40, 343, 347

∴ So the LCM of the given numbers is 2 x 40 x 343 x 347 = 9521680

Least Common Multiple of 80,343,694 with GCF Formula

Least Common Multiple of 80,343,694 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 80,343,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,343,694) = 1

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

GCF(80,343,694) x common factors =1 x 2 = 2

LCM(80,343,694) = ( 80 × 343 × 694 ) / 2

LCM(80,343,694) = 19043360 / 2

LCM(80,343,694) = 9521680


Lets's calculate GCF of 530,589,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9521680/1

Therefore the LCM of Fractions 80/530,343/589,694/182 is 9521680

Greatest Common Factor of 530,589,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,589,182 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 530,589,182 . The biggest common factor number is the GCF number.
So the greatest common factor 530,589,182 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 80/530, 343/589, 694/182

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 80/530, 343/589, 694/182?

Answer: LCM of Numerators as per given numbers 80/530, 343/589, 694/182 is

LCM of Numerators i.e. for 80,343,694 is 9521680

GCF of denominators i.e. for 530,589,182 is 1.

Thus, LCM of Fractions is 9521680.Finally, LCM of Fractions for 80/530, 343/589, 694/182 is 9521680.