Least Common Multiple of 713/566, 436/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 713/566, 436/209 quickly i.e. 310868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/566, 436/209 is 310868.

LCM(713/566, 436/209) = 310868

LCM of 713/566, 436/209

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 713/566,436/209

Given numbers are 713/566,436/209

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 713,436

Least Common Multiple of Numerators i.e. LCM of 713,436 is 310868.

GCF of Denominators means GCF of 566,209 as per the given fractions.

GCF of 566,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,436

LCM of Fractions 713/566,436/209 is 310868

Given numbers has no common factors except 1. So, there LCM is their product i.e 310868

Least Common Multiple of 713,436 with GCF Formula

Least Common Multiple of 713,436 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 713,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,436) = 1

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

GCF(713,436) x common factors =1 x 1 = 1

LCM(713,436) = ( 713 × 436 ) / 1

LCM(713,436) = 310868 / 1

LCM(713,436) = 310868


Lets's calculate GCF of 566,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310868/1

Therefore the LCM of Fractions 713/566,436/209 is 310868

Greatest Common Factor of 566,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,209 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 566,209 . The biggest common factor number is the GCF number.
So the greatest common factor 566,209 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 713/566, 436/209

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 713/566, 436/209?

Answer: LCM of Numerators as per given numbers 713/566, 436/209 is

LCM of Numerators i.e. for 713,436 is 310868

GCF of denominators i.e. for 566,209 is 1.

Thus, LCM of Fractions is 310868.Finally, LCM of Fractions for 713/566, 436/209 is 310868.