Least Common Multiple of 5809/704, 5448/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5809/704, 5448/121 quickly i.e. 31647432/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5809/704, 5448/121 is 31647432/11.

LCM(5809/704, 5448/121) = 31647432/11

LCM of 5809/704, 5448/121

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 5809/704,5448/121

Given numbers are 5809/704,5448/121

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 5809,5448

Least Common Multiple of Numerators i.e. LCM of 5809,5448 is 31647432.

GCF of Denominators means GCF of 704,121 as per the given fractions.

GCF of 704,121 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5809,5448

LCM of Fractions 5809/704,5448/121 is 31647432/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 31647432

Least Common Multiple of 5809,5448 with GCF Formula

Least Common Multiple of 5809,5448 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 5809,5448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5809,5448) = 1

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

GCF(5809,5448) x common factors =1 x 1 = 1

LCM(5809,5448) = ( 5809 × 5448 ) / 1

LCM(5809,5448) = 31647432 / 1

LCM(5809,5448) = 31647432


Lets's calculate GCF of 704,121

11 704, 121
64, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31647432/11

Therefore the LCM of Fractions 5809/704,5448/121 is 31647432/11

Greatest Common Factor of 704,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,121 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 704,121 . The biggest common factor number is the GCF number.
So the greatest common factor 704,121 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 5809/704, 5448/121

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 5809/704, 5448/121?

Answer: LCM of Numerators as per given numbers 5809/704, 5448/121 is

LCM of Numerators i.e. for 5809,5448 is 31647432

GCF of denominators i.e. for 704,121 is 11.

Thus, LCM of Fractions is 31647432/11.Finally, LCM of Fractions for 5809/704, 5448/121 is 31647432/11.