Least Common Multiple of 210/438, 9579/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/438, 9579/507 quickly i.e. 223510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/438, 9579/507 is 223510.

LCM(210/438, 9579/507) = 223510

LCM of 210/438, 9579/507

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 210/438,9579/507

Given numbers are 210/438,9579/507

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 210,9579

Least Common Multiple of Numerators i.e. LCM of 210,9579 is 670530.

GCF of Denominators means GCF of 438,507 as per the given fractions.

GCF of 438,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,9579

LCM of Fractions 210/438,9579/507 is 223510

3 210, 9579
70, 3193

∴ So the LCM of the given numbers is 3 x 70 x 3193 = 670530

Least Common Multiple of 210,9579 with GCF Formula

Least Common Multiple of 210,9579 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 210,9579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,9579) = 3

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

GCF(210,9579) x common factors =3 x 1 = 3

LCM(210,9579) = ( 210 × 9579 ) / 3

LCM(210,9579) = 2011590 / 3

LCM(210,9579) = 670530


Lets's calculate GCF of 438,507

3 438, 507
146, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 670530/3

Therefore the LCM of Fractions 210/438,9579/507 is 223510

Greatest Common Factor of 438,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,507 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 438,507 . The biggest common factor number is the GCF number.
So the greatest common factor 438,507 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 210/438, 9579/507

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 210/438, 9579/507?

Answer: LCM of Numerators as per given numbers 210/438, 9579/507 is

LCM of Numerators i.e. for 210,9579 is 670530

GCF of denominators i.e. for 438,507 is 3.

Thus, LCM of Fractions is 223510.Finally, LCM of Fractions for 210/438, 9579/507 is 223510.