Least Common Multiple of 8404/788, 5690/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8404/788, 5690/230 quickly i.e. 11954690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8404/788, 5690/230 is 11954690.

LCM(8404/788, 5690/230) = 11954690

LCM of 8404/788, 5690/230

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 8404/788,5690/230

Given numbers are 8404/788,5690/230

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 8404,5690

Least Common Multiple of Numerators i.e. LCM of 8404,5690 is 23909380.

GCF of Denominators means GCF of 788,230 as per the given fractions.

GCF of 788,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8404,5690

LCM of Fractions 8404/788,5690/230 is 11954690

2 8404, 5690
4202, 2845

∴ So the LCM of the given numbers is 2 x 4202 x 2845 = 23909380

Least Common Multiple of 8404,5690 with GCF Formula

Least Common Multiple of 8404,5690 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 8404,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8404,5690) = 2

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

GCF(8404,5690) x common factors =2 x 1 = 2

LCM(8404,5690) = ( 8404 × 5690 ) / 2

LCM(8404,5690) = 47818760 / 2

LCM(8404,5690) = 23909380


Lets's calculate GCF of 788,230

2 788, 230
394, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23909380/2

Therefore the LCM of Fractions 8404/788,5690/230 is 11954690

Greatest Common Factor of 788,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,230 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 788,230 . The biggest common factor number is the GCF number.
So the greatest common factor 788,230 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 8404/788, 5690/230

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 8404/788, 5690/230?

Answer: LCM of Numerators as per given numbers 8404/788, 5690/230 is

LCM of Numerators i.e. for 8404,5690 is 23909380

GCF of denominators i.e. for 788,230 is 2.

Thus, LCM of Fractions is 11954690.Finally, LCM of Fractions for 8404/788, 5690/230 is 11954690.