Least Common Multiple of 714/578, 840/645, 439/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/578, 840/645, 439/413 quickly i.e. 6268920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/578, 840/645, 439/413 is 6268920.

LCM(714/578, 840/645, 439/413) = 6268920

LCM of 714/578, 840/645, 439/413

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 714/578,840/645,439/413

Given numbers are 714/578,840/645,439/413

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 714,840,439

Least Common Multiple of Numerators i.e. LCM of 714,840,439 is 6268920.

GCF of Denominators means GCF of 578,645,413 as per the given fractions.

GCF of 578,645,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,840,439

LCM of Fractions 714/578,840/645,439/413 is 6268920

2 714, 840, 439
3 357, 420, 439
7 119, 140, 439
17, 20, 439

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 20 x 439 = 6268920

Least Common Multiple of 714,840,439 with GCF Formula

Least Common Multiple of 714,840,439 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 714,840,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,840,439) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(714,840,439) x common factors =1 x 42 = 42

LCM(714,840,439) = ( 714 × 840 × 439 ) / 42

LCM(714,840,439) = 263294640 / 42

LCM(714,840,439) = 6268920


Lets's calculate GCF of 578,645,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6268920/1

Therefore the LCM of Fractions 714/578,840/645,439/413 is 6268920

Greatest Common Factor of 578,645,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,645,413 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 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 578,645,413 . The biggest common factor number is the GCF number.
So the greatest common factor 578,645,413 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 714/578, 840/645, 439/413

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 714/578, 840/645, 439/413?

Answer: LCM of Numerators as per given numbers 714/578, 840/645, 439/413 is

LCM of Numerators i.e. for 714,840,439 is 6268920

GCF of denominators i.e. for 578,645,413 is 1.

Thus, LCM of Fractions is 6268920.Finally, LCM of Fractions for 714/578, 840/645, 439/413 is 6268920.