Least Common Multiple of 587/55, 578/2002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/55, 578/2002 quickly i.e. 339286/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/55, 578/2002 is 339286/11.

LCM(587/55, 578/2002) = 339286/11

LCM of 587/55, 578/2002

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 587/55,578/2002

Given numbers are 587/55,578/2002

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 587,578

Least Common Multiple of Numerators i.e. LCM of 587,578 is 339286.

GCF of Denominators means GCF of 55,2002 as per the given fractions.

GCF of 55,2002 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,578

LCM of Fractions 587/55,578/2002 is 339286/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 339286

Least Common Multiple of 587,578 with GCF Formula

Least Common Multiple of 587,578 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 587,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,578) = 1

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

GCF(587,578) x common factors =1 x 1 = 1

LCM(587,578) = ( 587 × 578 ) / 1

LCM(587,578) = 339286 / 1

LCM(587,578) = 339286


Lets's calculate GCF of 55,2002

11 55, 2002
5, 182

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339286/11

Therefore the LCM of Fractions 587/55,578/2002 is 339286/11

Greatest Common Factor of 55,2002 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,2002 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 2002

List of positive integer factors of 2002 that divides 2002 without a remainder.

1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002

Greatest Common Factor

We found the factors 55,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 55,2002 is 11.


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 587/55, 578/2002

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 587/55, 578/2002?

Answer: LCM of Numerators as per given numbers 587/55, 578/2002 is

LCM of Numerators i.e. for 587,578 is 339286

GCF of denominators i.e. for 55,2002 is 11.

Thus, LCM of Fractions is 339286/11.Finally, LCM of Fractions for 587/55, 578/2002 is 339286/11.