Least Common Multiple of 5609/584, 4570/8768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5609/584, 4570/8768 quickly i.e. 25633130/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5609/584, 4570/8768 is 25633130/8.

LCM(5609/584, 4570/8768) = 25633130/8

LCM of 5609/584, 4570/8768

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 5609/584,4570/8768

Given numbers are 5609/584,4570/8768

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 5609,4570

Least Common Multiple of Numerators i.e. LCM of 5609,4570 is 25633130.

GCF of Denominators means GCF of 584,8768 as per the given fractions.

GCF of 584,8768 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5609,4570

LCM of Fractions 5609/584,4570/8768 is 25633130/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 25633130

Least Common Multiple of 5609,4570 with GCF Formula

Least Common Multiple of 5609,4570 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 5609,4570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5609,4570) = 1

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

GCF(5609,4570) x common factors =1 x 1 = 1

LCM(5609,4570) = ( 5609 × 4570 ) / 1

LCM(5609,4570) = 25633130 / 1

LCM(5609,4570) = 25633130


Lets's calculate GCF of 584,8768

2 584, 8768
2 292, 4384
2 146, 2192
73, 1096

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25633130/8

Therefore the LCM of Fractions 5609/584,4570/8768 is 25633130/8

Greatest Common Factor of 584,8768 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,8768 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Greatest Common Factor

We found the factors 584,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 584,8768 is 8.


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 5609/584, 4570/8768

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 5609/584, 4570/8768?

Answer: LCM of Numerators as per given numbers 5609/584, 4570/8768 is

LCM of Numerators i.e. for 5609,4570 is 25633130

GCF of denominators i.e. for 584,8768 is 8.

Thus, LCM of Fractions is 25633130/8.Finally, LCM of Fractions for 5609/584, 4570/8768 is 25633130/8.