Least Common Multiple of 8204/969, 5748/8318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8204/969, 5748/8318 quickly i.e. 11789148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8204/969, 5748/8318 is 11789148.

LCM(8204/969, 5748/8318) = 11789148

LCM of 8204/969, 5748/8318

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 8204/969,5748/8318

Given numbers are 8204/969,5748/8318

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 8204,5748

Least Common Multiple of Numerators i.e. LCM of 8204,5748 is 11789148.

GCF of Denominators means GCF of 969,8318 as per the given fractions.

GCF of 969,8318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8204,5748

LCM of Fractions 8204/969,5748/8318 is 11789148

2 8204, 5748
2 4102, 2874
2051, 1437

∴ So the LCM of the given numbers is 2 x 2 x 2051 x 1437 = 11789148

Least Common Multiple of 8204,5748 with GCF Formula

Least Common Multiple of 8204,5748 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 8204,5748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8204,5748) = 4

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

GCF(8204,5748) x common factors =4 x 1 = 4

LCM(8204,5748) = ( 8204 × 5748 ) / 4

LCM(8204,5748) = 47156592 / 4

LCM(8204,5748) = 11789148


Lets's calculate GCF of 969,8318

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11789148/1

Therefore the LCM of Fractions 8204/969,5748/8318 is 11789148

Greatest Common Factor of 969,8318 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,8318 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 8318

List of positive integer factors of 8318 that divides 8318 without a remainder.

1,2,4159,8318

Greatest Common Factor

We found the factors 969,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 969,8318 is 1.


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 8204/969, 5748/8318

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 8204/969, 5748/8318?

Answer: LCM of Numerators as per given numbers 8204/969, 5748/8318 is

LCM of Numerators i.e. for 8204,5748 is 11789148

GCF of denominators i.e. for 969,8318 is 1.

Thus, LCM of Fractions is 11789148.Finally, LCM of Fractions for 8204/969, 5748/8318 is 11789148.