Least Common Multiple of 83/578, 723/341, 343/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/578, 723/341, 343/130 quickly i.e. 20583087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/578, 723/341, 343/130 is 20583087.

LCM(83/578, 723/341, 343/130) = 20583087

LCM of 83/578, 723/341, 343/130

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 83/578,723/341,343/130

Given numbers are 83/578,723/341,343/130

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 83,723,343

Least Common Multiple of Numerators i.e. LCM of 83,723,343 is 20583087.

GCF of Denominators means GCF of 578,341,130 as per the given fractions.

GCF of 578,341,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,723,343

LCM of Fractions 83/578,723/341,343/130 is 20583087

Given numbers has no common factors except 1. So, there LCM is their product i.e 20583087

Least Common Multiple of 83,723,343 with GCF Formula

Least Common Multiple of 83,723,343 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 83,723,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,723,343) = 1

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

GCF(83,723,343) x common factors =1 x 1 = 1

LCM(83,723,343) = ( 83 × 723 × 343 ) / 1

LCM(83,723,343) = 20583087 / 1

LCM(83,723,343) = 20583087


Lets's calculate GCF of 578,341,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20583087/1

Therefore the LCM of Fractions 83/578,723/341,343/130 is 20583087

Greatest Common Factor of 578,341,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,341,130 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 578,341,130 . The biggest common factor number is the GCF number.
So the greatest common factor 578,341,130 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 83/578, 723/341, 343/130

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 83/578, 723/341, 343/130?

Answer: LCM of Numerators as per given numbers 83/578, 723/341, 343/130 is

LCM of Numerators i.e. for 83,723,343 is 20583087

GCF of denominators i.e. for 578,341,130 is 1.

Thus, LCM of Fractions is 20583087.Finally, LCM of Fractions for 83/578, 723/341, 343/130 is 20583087.