Least Common Multiple of 688/40, 393/4565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/40, 393/4565 quickly i.e. 270384/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/40, 393/4565 is 270384/5.

LCM(688/40, 393/4565) = 270384/5

LCM of 688/40, 393/4565

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 688/40,393/4565

Given numbers are 688/40,393/4565

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 688,393

Least Common Multiple of Numerators i.e. LCM of 688,393 is 270384.

GCF of Denominators means GCF of 40,4565 as per the given fractions.

GCF of 40,4565 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,393

LCM of Fractions 688/40,393/4565 is 270384/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 270384

Least Common Multiple of 688,393 with GCF Formula

Least Common Multiple of 688,393 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 688,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,393) = 1

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

GCF(688,393) x common factors =1 x 1 = 1

LCM(688,393) = ( 688 × 393 ) / 1

LCM(688,393) = 270384 / 1

LCM(688,393) = 270384


Lets's calculate GCF of 40,4565

5 40, 4565
8, 913

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270384/5

Therefore the LCM of Fractions 688/40,393/4565 is 270384/5

Greatest Common Factor of 40,4565 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4565 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 4565

List of positive integer factors of 4565 that divides 4565 without a remainder.

1,5,11,55,83,415,913,4565

Greatest Common Factor

We found the factors 40,4565 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4565 is 5.


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 688/40, 393/4565

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 688/40, 393/4565?

Answer: LCM of Numerators as per given numbers 688/40, 393/4565 is

LCM of Numerators i.e. for 688,393 is 270384

GCF of denominators i.e. for 40,4565 is 5.

Thus, LCM of Fractions is 270384/5.Finally, LCM of Fractions for 688/40, 393/4565 is 270384/5.