Least Common Multiple of 27/676, 222/200, 578/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/676, 222/200, 578/410 quickly i.e. 288711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/676, 222/200, 578/410 is 288711.

LCM(27/676, 222/200, 578/410) = 288711

LCM of 27/676, 222/200, 578/410

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 27/676,222/200,578/410

Given numbers are 27/676,222/200,578/410

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 27,222,578

Least Common Multiple of Numerators i.e. LCM of 27,222,578 is 577422.

GCF of Denominators means GCF of 676,200,410 as per the given fractions.

GCF of 676,200,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,222,578

LCM of Fractions 27/676,222/200,578/410 is 288711

2 27, 222, 578
3 27, 111, 289
9, 37, 289

∴ So the LCM of the given numbers is 2 x 3 x 9 x 37 x 289 = 577422

Least Common Multiple of 27,222,578 with GCF Formula

Least Common Multiple of 27,222,578 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 27,222,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,222,578) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,222,578) x common factors =1 x 6 = 6

LCM(27,222,578) = ( 27 × 222 × 578 ) / 6

LCM(27,222,578) = 3464532 / 6

LCM(27,222,578) = 577422


Lets's calculate GCF of 676,200,410

2 676, 200, 410
338, 100, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 577422/2

Therefore the LCM of Fractions 27/676,222/200,578/410 is 288711

Greatest Common Factor of 676,200,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,200,410 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 676,200,410 . The biggest common factor number is the GCF number.
So the greatest common factor 676,200,410 is 2.


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 27/676, 222/200, 578/410

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 27/676, 222/200, 578/410?

Answer: LCM of Numerators as per given numbers 27/676, 222/200, 578/410 is

LCM of Numerators i.e. for 27,222,578 is 577422

GCF of denominators i.e. for 676,200,410 is 2.

Thus, LCM of Fractions is 288711.Finally, LCM of Fractions for 27/676, 222/200, 578/410 is 288711.