Least Common Multiple of 578/321, 9707/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/321, 9707/687 quickly i.e. 330038/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/321, 9707/687 is 330038/3.

LCM(578/321, 9707/687) = 330038/3

LCM of 578/321, 9707/687

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 578/321,9707/687

Given numbers are 578/321,9707/687

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 578,9707

Least Common Multiple of Numerators i.e. LCM of 578,9707 is 330038.

GCF of Denominators means GCF of 321,687 as per the given fractions.

GCF of 321,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,9707

LCM of Fractions 578/321,9707/687 is 330038/3

17 578, 9707
34, 571

∴ So the LCM of the given numbers is 17 x 34 x 571 = 330038

Least Common Multiple of 578,9707 with GCF Formula

Least Common Multiple of 578,9707 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 578,9707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,9707) = 17

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

GCF(578,9707) x common factors =17 x 1 = 17

LCM(578,9707) = ( 578 × 9707 ) / 17

LCM(578,9707) = 5610646 / 17

LCM(578,9707) = 330038


Lets's calculate GCF of 321,687

3 321, 687
107, 229

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330038/3

Therefore the LCM of Fractions 578/321,9707/687 is 330038/3

Greatest Common Factor of 321,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,687 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 321,687 . The biggest common factor number is the GCF number.
So the greatest common factor 321,687 is 3.


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 578/321, 9707/687

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 578/321, 9707/687?

Answer: LCM of Numerators as per given numbers 578/321, 9707/687 is

LCM of Numerators i.e. for 578,9707 is 330038

GCF of denominators i.e. for 321,687 is 3.

Thus, LCM of Fractions is 330038/3.Finally, LCM of Fractions for 578/321, 9707/687 is 330038/3.