Least Common Multiple of 818/376, 661/502, 999/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/376, 661/502, 999/906 quickly i.e. 270078651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/376, 661/502, 999/906 is 270078651.

LCM(818/376, 661/502, 999/906) = 270078651

LCM of 818/376, 661/502, 999/906

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 818/376,661/502,999/906

Given numbers are 818/376,661/502,999/906

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 818,661,999

Least Common Multiple of Numerators i.e. LCM of 818,661,999 is 540157302.

GCF of Denominators means GCF of 376,502,906 as per the given fractions.

GCF of 376,502,906 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,661,999

LCM of Fractions 818/376,661/502,999/906 is 270078651

Given numbers has no common factors except 1. So, there LCM is their product i.e 540157302

Least Common Multiple of 818,661,999 with GCF Formula

Least Common Multiple of 818,661,999 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 818,661,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,661,999) = 1

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

GCF(818,661,999) x common factors =1 x 1 = 1

LCM(818,661,999) = ( 818 × 661 × 999 ) / 1

LCM(818,661,999) = 540157302 / 1

LCM(818,661,999) = 540157302


Lets's calculate GCF of 376,502,906

2 376, 502, 906
188, 251, 453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540157302/2

Therefore the LCM of Fractions 818/376,661/502,999/906 is 270078651

Greatest Common Factor of 376,502,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,502,906 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 376,502,906 . The biggest common factor number is the GCF number.
So the greatest common factor 376,502,906 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 818/376, 661/502, 999/906

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 818/376, 661/502, 999/906?

Answer: LCM of Numerators as per given numbers 818/376, 661/502, 999/906 is

LCM of Numerators i.e. for 818,661,999 is 540157302

GCF of denominators i.e. for 376,502,906 is 2.

Thus, LCM of Fractions is 270078651.Finally, LCM of Fractions for 818/376, 661/502, 999/906 is 270078651.