Least Common Multiple of 893/764, 648/608, 323/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 893/764, 648/608, 323/433 quickly i.e. 9837288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/764, 648/608, 323/433 is 9837288.

LCM(893/764, 648/608, 323/433) = 9837288

LCM of 893/764, 648/608, 323/433

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 893/764,648/608,323/433

Given numbers are 893/764,648/608,323/433

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 893,648,323

Least Common Multiple of Numerators i.e. LCM of 893,648,323 is 9837288.

GCF of Denominators means GCF of 764,608,433 as per the given fractions.

GCF of 764,608,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,648,323

LCM of Fractions 893/764,648/608,323/433 is 9837288

19 893, 648, 323
47, 648, 17

∴ So the LCM of the given numbers is 19 x 47 x 648 x 17 = 9837288

Least Common Multiple of 893,648,323 with GCF Formula

Least Common Multiple of 893,648,323 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 893,648,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,648,323) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(893,648,323) x common factors =1 x 19 = 19

LCM(893,648,323) = ( 893 × 648 × 323 ) / 19

LCM(893,648,323) = 186908472 / 19

LCM(893,648,323) = 9837288


Lets's calculate GCF of 764,608,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9837288/1

Therefore the LCM of Fractions 893/764,648/608,323/433 is 9837288

Greatest Common Factor of 764,608,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,608,433 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 764,608,433 . The biggest common factor number is the GCF number.
So the greatest common factor 764,608,433 is 1.


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 893/764, 648/608, 323/433

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 893/764, 648/608, 323/433?

Answer: LCM of Numerators as per given numbers 893/764, 648/608, 323/433 is

LCM of Numerators i.e. for 893,648,323 is 9837288

GCF of denominators i.e. for 764,608,433 is 1.

Thus, LCM of Fractions is 9837288.Finally, LCM of Fractions for 893/764, 648/608, 323/433 is 9837288.