Least Common Multiple of 80/27, 289/56, 578/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/27, 289/56, 578/388 quickly i.e. 23120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/27, 289/56, 578/388 is 23120.

LCM(80/27, 289/56, 578/388) = 23120

LCM of 80/27, 289/56, 578/388

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 80/27,289/56,578/388

Given numbers are 80/27,289/56,578/388

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 80,289,578

Least Common Multiple of Numerators i.e. LCM of 80,289,578 is 23120.

GCF of Denominators means GCF of 27,56,388 as per the given fractions.

GCF of 27,56,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,289,578

LCM of Fractions 80/27,289/56,578/388 is 23120

2 80, 289, 578
17 40, 289, 289
17 40, 17, 17
40, 1, 1

∴ So the LCM of the given numbers is 2 x 17 x 17 x 40 x 1 x 1 = 23120

Least Common Multiple of 80,289,578 with GCF Formula

Least Common Multiple of 80,289,578 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 80,289,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,289,578) = 1

common factors(in case of two or more numbers have common factors) = 578

GCF(80,289,578) x common factors =1 x 578 = 578

LCM(80,289,578) = ( 80 × 289 × 578 ) / 578

LCM(80,289,578) = 13363360 / 578

LCM(80,289,578) = 23120


Lets's calculate GCF of 27,56,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23120/1

Therefore the LCM of Fractions 80/27,289/56,578/388 is 23120

Greatest Common Factor of 27,56,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,56,388 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 27,56,388 . The biggest common factor number is the GCF number.
So the greatest common factor 27,56,388 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 80/27, 289/56, 578/388

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 80/27, 289/56, 578/388?

Answer: LCM of Numerators as per given numbers 80/27, 289/56, 578/388 is

LCM of Numerators i.e. for 80,289,578 is 23120

GCF of denominators i.e. for 27,56,388 is 1.

Thus, LCM of Fractions is 23120.Finally, LCM of Fractions for 80/27, 289/56, 578/388 is 23120.