Least Common Multiple of 584/345, 3745/7071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/345, 3745/7071 quickly i.e. 2187080/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/345, 3745/7071 is 2187080/3.

LCM(584/345, 3745/7071) = 2187080/3

LCM of 584/345, 3745/7071

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 584/345,3745/7071

Given numbers are 584/345,3745/7071

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 584,3745

Least Common Multiple of Numerators i.e. LCM of 584,3745 is 2187080.

GCF of Denominators means GCF of 345,7071 as per the given fractions.

GCF of 345,7071 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,3745

LCM of Fractions 584/345,3745/7071 is 2187080/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2187080

Least Common Multiple of 584,3745 with GCF Formula

Least Common Multiple of 584,3745 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 584,3745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,3745) = 1

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

GCF(584,3745) x common factors =1 x 1 = 1

LCM(584,3745) = ( 584 × 3745 ) / 1

LCM(584,3745) = 2187080 / 1

LCM(584,3745) = 2187080


Lets's calculate GCF of 345,7071

3 345, 7071
115, 2357

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2187080/3

Therefore the LCM of Fractions 584/345,3745/7071 is 2187080/3

Greatest Common Factor of 345,7071 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,7071 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 7071

List of positive integer factors of 7071 that divides 7071 without a remainder.

1,3,2357,7071

Greatest Common Factor

We found the factors 345,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 345,7071 is 3.


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 584/345, 3745/7071

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 584/345, 3745/7071?

Answer: LCM of Numerators as per given numbers 584/345, 3745/7071 is

LCM of Numerators i.e. for 584,3745 is 2187080

GCF of denominators i.e. for 345,7071 is 3.

Thus, LCM of Fractions is 2187080/3.Finally, LCM of Fractions for 584/345, 3745/7071 is 2187080/3.