Least Common Multiple of 404/572, 8734/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/572, 8734/788 quickly i.e. 441067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/572, 8734/788 is 441067.

LCM(404/572, 8734/788) = 441067

LCM of 404/572, 8734/788

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 404/572,8734/788

Given numbers are 404/572,8734/788

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 404,8734

Least Common Multiple of Numerators i.e. LCM of 404,8734 is 1764268.

GCF of Denominators means GCF of 572,788 as per the given fractions.

GCF of 572,788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,8734

LCM of Fractions 404/572,8734/788 is 441067

2 404, 8734
202, 4367

∴ So the LCM of the given numbers is 2 x 202 x 4367 = 1764268

Least Common Multiple of 404,8734 with GCF Formula

Least Common Multiple of 404,8734 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 404,8734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,8734) = 2

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

GCF(404,8734) x common factors =2 x 1 = 2

LCM(404,8734) = ( 404 × 8734 ) / 2

LCM(404,8734) = 3528536 / 2

LCM(404,8734) = 1764268


Lets's calculate GCF of 572,788

2 572, 788
2 286, 394
143, 197

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1764268/4

Therefore the LCM of Fractions 404/572,8734/788 is 441067

Greatest Common Factor of 572,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,788 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 572,788 . The biggest common factor number is the GCF number.
So the greatest common factor 572,788 is 4.


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 404/572, 8734/788

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 404/572, 8734/788?

Answer: LCM of Numerators as per given numbers 404/572, 8734/788 is

LCM of Numerators i.e. for 404,8734 is 1764268

GCF of denominators i.e. for 572,788 is 4.

Thus, LCM of Fractions is 441067.Finally, LCM of Fractions for 404/572, 8734/788 is 441067.