Least Common Multiple of 893/975, 519/759, 330/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 893/975, 519/759, 330/876 quickly i.e. 16993790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/975, 519/759, 330/876 is 16993790.

LCM(893/975, 519/759, 330/876) = 16993790

LCM of 893/975, 519/759, 330/876

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 893/975,519/759,330/876

Given numbers are 893/975,519/759,330/876

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 893,519,330

Least Common Multiple of Numerators i.e. LCM of 893,519,330 is 50981370.

GCF of Denominators means GCF of 975,759,876 as per the given fractions.

GCF of 975,759,876 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,519,330

LCM of Fractions 893/975,519/759,330/876 is 16993790

3 893, 519, 330
893, 173, 110

∴ So the LCM of the given numbers is 3 x 893 x 173 x 110 = 50981370

Least Common Multiple of 893,519,330 with GCF Formula

Least Common Multiple of 893,519,330 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 893,519,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,519,330) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(893,519,330) x common factors =1 x 3 = 3

LCM(893,519,330) = ( 893 × 519 × 330 ) / 3

LCM(893,519,330) = 152944110 / 3

LCM(893,519,330) = 50981370


Lets's calculate GCF of 975,759,876

3 975, 759, 876
325, 253, 292

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50981370/3

Therefore the LCM of Fractions 893/975,519/759,330/876 is 16993790

Greatest Common Factor of 975,759,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,759,876 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 975,759,876 . The biggest common factor number is the GCF number.
So the greatest common factor 975,759,876 is 3.


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 893/975, 519/759, 330/876

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 893/975, 519/759, 330/876?

Answer: LCM of Numerators as per given numbers 893/975, 519/759, 330/876 is

LCM of Numerators i.e. for 893,519,330 is 50981370

GCF of denominators i.e. for 975,759,876 is 3.

Thus, LCM of Fractions is 16993790.Finally, LCM of Fractions for 893/975, 519/759, 330/876 is 16993790.