Least Common Multiple of 5707/823, 1188/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5707/823, 1188/823 quickly i.e. 6779916/823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5707/823, 1188/823 is 6779916/823.

LCM(5707/823, 1188/823) = 6779916/823

LCM of 5707/823, 1188/823

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 5707/823,1188/823

Given numbers are 5707/823,1188/823

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 5707,1188

Least Common Multiple of Numerators i.e. LCM of 5707,1188 is 6779916.

GCF of Denominators means GCF of 823,823 as per the given fractions.

GCF of 823,823 is 823 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5707,1188

LCM of Fractions 5707/823,1188/823 is 6779916/823

Given numbers has no common factors except 1. So, there LCM is their product i.e 6779916

Least Common Multiple of 5707,1188 with GCF Formula

Least Common Multiple of 5707,1188 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 5707,1188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5707,1188) = 1

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

GCF(5707,1188) x common factors =1 x 1 = 1

LCM(5707,1188) = ( 5707 × 1188 ) / 1

LCM(5707,1188) = 6779916 / 1

LCM(5707,1188) = 6779916


Lets's calculate GCF of 823,823

823 823, 823
1, 1

∴ So the GCF of the given numbers is 823 = 823

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6779916/823

Therefore the LCM of Fractions 5707/823,1188/823 is 6779916/823

Greatest Common Factor of 823,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,823 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 823,823 . The biggest common factor number is the GCF number.
So the greatest common factor 823,823 is 823.


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 5707/823, 1188/823

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 5707/823, 1188/823?

Answer: LCM of Numerators as per given numbers 5707/823, 1188/823 is

LCM of Numerators i.e. for 5707,1188 is 6779916

GCF of denominators i.e. for 823,823 is 823.

Thus, LCM of Fractions is 6779916/823.Finally, LCM of Fractions for 5707/823, 1188/823 is 6779916/823.