Least Common Multiple of 688/46, 839/5584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/46, 839/5584 quickly i.e. 288616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/46, 839/5584 is 288616.

LCM(688/46, 839/5584) = 288616

LCM of 688/46, 839/5584

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 688/46,839/5584

Given numbers are 688/46,839/5584

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 688,839

Least Common Multiple of Numerators i.e. LCM of 688,839 is 577232.

GCF of Denominators means GCF of 46,5584 as per the given fractions.

GCF of 46,5584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,839

LCM of Fractions 688/46,839/5584 is 288616

Given numbers has no common factors except 1. So, there LCM is their product i.e 577232

Least Common Multiple of 688,839 with GCF Formula

Least Common Multiple of 688,839 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 688,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,839) = 1

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

GCF(688,839) x common factors =1 x 1 = 1

LCM(688,839) = ( 688 × 839 ) / 1

LCM(688,839) = 577232 / 1

LCM(688,839) = 577232


Lets's calculate GCF of 46,5584

2 46, 5584
23, 2792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 577232/2

Therefore the LCM of Fractions 688/46,839/5584 is 288616

Greatest Common Factor of 46,5584 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,5584 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1,2,4,8,16,349,698,1396,2792,5584

Greatest Common Factor

We found the factors 46,5584 . The biggest common factor number is the GCF number.
So the greatest common factor 46,5584 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 688/46, 839/5584

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 688/46, 839/5584?

Answer: LCM of Numerators as per given numbers 688/46, 839/5584 is

LCM of Numerators i.e. for 688,839 is 577232

GCF of denominators i.e. for 46,5584 is 2.

Thus, LCM of Fractions is 288616.Finally, LCM of Fractions for 688/46, 839/5584 is 288616.