Least Common Multiple of 39/434, 83/705, 209/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/434, 83/705, 209/568 quickly i.e. 676533 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/434, 83/705, 209/568 is 676533.

LCM(39/434, 83/705, 209/568) = 676533

LCM of 39/434, 83/705, 209/568

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 39/434,83/705,209/568

Given numbers are 39/434,83/705,209/568

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 39,83,209

Least Common Multiple of Numerators i.e. LCM of 39,83,209 is 676533.

GCF of Denominators means GCF of 434,705,568 as per the given fractions.

GCF of 434,705,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,83,209

LCM of Fractions 39/434,83/705,209/568 is 676533

Given numbers has no common factors except 1. So, there LCM is their product i.e 676533

Least Common Multiple of 39,83,209 with GCF Formula

Least Common Multiple of 39,83,209 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 39,83,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,83,209) = 1

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

GCF(39,83,209) x common factors =1 x 1 = 1

LCM(39,83,209) = ( 39 × 83 × 209 ) / 1

LCM(39,83,209) = 676533 / 1

LCM(39,83,209) = 676533


Lets's calculate GCF of 434,705,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676533/1

Therefore the LCM of Fractions 39/434,83/705,209/568 is 676533

Greatest Common Factor of 434,705,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,705,568 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 434,705,568 . The biggest common factor number is the GCF number.
So the greatest common factor 434,705,568 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 39/434, 83/705, 209/568

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 39/434, 83/705, 209/568?

Answer: LCM of Numerators as per given numbers 39/434, 83/705, 209/568 is

LCM of Numerators i.e. for 39,83,209 is 676533

GCF of denominators i.e. for 434,705,568 is 1.

Thus, LCM of Fractions is 676533.Finally, LCM of Fractions for 39/434, 83/705, 209/568 is 676533.