Least Common Multiple of 573/96, 383/33, 276/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 573/96, 383/33, 276/829 quickly i.e. 20190228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 573/96, 383/33, 276/829 is 20190228.

LCM(573/96, 383/33, 276/829) = 20190228

LCM of 573/96, 383/33, 276/829

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 573/96,383/33,276/829

Given numbers are 573/96,383/33,276/829

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 573,383,276

Least Common Multiple of Numerators i.e. LCM of 573,383,276 is 20190228.

GCF of Denominators means GCF of 96,33,829 as per the given fractions.

GCF of 96,33,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 573,383,276

LCM of Fractions 573/96,383/33,276/829 is 20190228

3 573, 383, 276
191, 383, 92

∴ So the LCM of the given numbers is 3 x 191 x 383 x 92 = 20190228

Least Common Multiple of 573,383,276 with GCF Formula

Least Common Multiple of 573,383,276 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 573,383,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,383,276) = 1

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

GCF(573,383,276) x common factors =1 x 3 = 3

LCM(573,383,276) = ( 573 × 383 × 276 ) / 3

LCM(573,383,276) = 60570684 / 3

LCM(573,383,276) = 20190228


Lets's calculate GCF of 96,33,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20190228/1

Therefore the LCM of Fractions 573/96,383/33,276/829 is 20190228

Greatest Common Factor of 96,33,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,33,829 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 96,33,829 . The biggest common factor number is the GCF number.
So the greatest common factor 96,33,829 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 573/96, 383/33, 276/829

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 573/96, 383/33, 276/829?

Answer: LCM of Numerators as per given numbers 573/96, 383/33, 276/829 is

LCM of Numerators i.e. for 573,383,276 is 20190228

GCF of denominators i.e. for 96,33,829 is 1.

Thus, LCM of Fractions is 20190228.Finally, LCM of Fractions for 573/96, 383/33, 276/829 is 20190228.