Least Common Multiple of 209/504, 614/827, 591/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/504, 614/827, 591/712 quickly i.e. 75840666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/504, 614/827, 591/712 is 75840666.

LCM(209/504, 614/827, 591/712) = 75840666

LCM of 209/504, 614/827, 591/712

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 209/504,614/827,591/712

Given numbers are 209/504,614/827,591/712

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 209,614,591

Least Common Multiple of Numerators i.e. LCM of 209,614,591 is 75840666.

GCF of Denominators means GCF of 504,827,712 as per the given fractions.

GCF of 504,827,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,614,591

LCM of Fractions 209/504,614/827,591/712 is 75840666

Given numbers has no common factors except 1. So, there LCM is their product i.e 75840666

Least Common Multiple of 209,614,591 with GCF Formula

Least Common Multiple of 209,614,591 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 209,614,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,614,591) = 1

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

GCF(209,614,591) x common factors =1 x 1 = 1

LCM(209,614,591) = ( 209 × 614 × 591 ) / 1

LCM(209,614,591) = 75840666 / 1

LCM(209,614,591) = 75840666


Lets's calculate GCF of 504,827,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75840666/1

Therefore the LCM of Fractions 209/504,614/827,591/712 is 75840666

Greatest Common Factor of 504,827,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,827,712 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 504,827,712 . The biggest common factor number is the GCF number.
So the greatest common factor 504,827,712 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 209/504, 614/827, 591/712

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 209/504, 614/827, 591/712?

Answer: LCM of Numerators as per given numbers 209/504, 614/827, 591/712 is

LCM of Numerators i.e. for 209,614,591 is 75840666

GCF of denominators i.e. for 504,827,712 is 1.

Thus, LCM of Fractions is 75840666.Finally, LCM of Fractions for 209/504, 614/827, 591/712 is 75840666.