Least Common Multiple of 7696/218, 6619/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7696/218, 6619/803 quickly i.e. 50939824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7696/218, 6619/803 is 50939824.

LCM(7696/218, 6619/803) = 50939824

LCM of 7696/218, 6619/803

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 7696/218,6619/803

Given numbers are 7696/218,6619/803

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 7696,6619

Least Common Multiple of Numerators i.e. LCM of 7696,6619 is 50939824.

GCF of Denominators means GCF of 218,803 as per the given fractions.

GCF of 218,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7696,6619

LCM of Fractions 7696/218,6619/803 is 50939824

Given numbers has no common factors except 1. So, there LCM is their product i.e 50939824

Least Common Multiple of 7696,6619 with GCF Formula

Least Common Multiple of 7696,6619 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 7696,6619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7696,6619) = 1

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

GCF(7696,6619) x common factors =1 x 1 = 1

LCM(7696,6619) = ( 7696 × 6619 ) / 1

LCM(7696,6619) = 50939824 / 1

LCM(7696,6619) = 50939824


Lets's calculate GCF of 218,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50939824/1

Therefore the LCM of Fractions 7696/218,6619/803 is 50939824

Greatest Common Factor of 218,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,803 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 218,803 . The biggest common factor number is the GCF number.
So the greatest common factor 218,803 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7696/218, 6619/803

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 7696/218, 6619/803?

Answer: LCM of Numerators as per given numbers 7696/218, 6619/803 is

LCM of Numerators i.e. for 7696,6619 is 50939824

GCF of denominators i.e. for 218,803 is 1.

Thus, LCM of Fractions is 50939824.Finally, LCM of Fractions for 7696/218, 6619/803 is 50939824.