Least Common Multiple of 7723/388, 8689/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7723/388, 8689/862 quickly i.e. 67105147/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7723/388, 8689/862 is 67105147/2.

LCM(7723/388, 8689/862) = 67105147/2

LCM of 7723/388, 8689/862

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 7723/388,8689/862

Given numbers are 7723/388,8689/862

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 7723,8689

Least Common Multiple of Numerators i.e. LCM of 7723,8689 is 67105147.

GCF of Denominators means GCF of 388,862 as per the given fractions.

GCF of 388,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7723,8689

LCM of Fractions 7723/388,8689/862 is 67105147/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 67105147

Least Common Multiple of 7723,8689 with GCF Formula

Least Common Multiple of 7723,8689 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 7723,8689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7723,8689) = 1

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

GCF(7723,8689) x common factors =1 x 1 = 1

LCM(7723,8689) = ( 7723 × 8689 ) / 1

LCM(7723,8689) = 67105147 / 1

LCM(7723,8689) = 67105147


Lets's calculate GCF of 388,862

2 388, 862
194, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67105147/2

Therefore the LCM of Fractions 7723/388,8689/862 is 67105147/2

Greatest Common Factor of 388,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,862 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 388,862 . The biggest common factor number is the GCF number.
So the greatest common factor 388,862 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 7723/388, 8689/862

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 7723/388, 8689/862?

Answer: LCM of Numerators as per given numbers 7723/388, 8689/862 is

LCM of Numerators i.e. for 7723,8689 is 67105147

GCF of denominators i.e. for 388,862 is 2.

Thus, LCM of Fractions is 67105147/2.Finally, LCM of Fractions for 7723/388, 8689/862 is 67105147/2.