Least Common Multiple of 23/576, 79/496, 628/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/576, 79/496, 628/133 quickly i.e. 1141076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/576, 79/496, 628/133 is 1141076.

LCM(23/576, 79/496, 628/133) = 1141076

LCM of 23/576, 79/496, 628/133

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 23/576,79/496,628/133

Given numbers are 23/576,79/496,628/133

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 23,79,628

Least Common Multiple of Numerators i.e. LCM of 23,79,628 is 1141076.

GCF of Denominators means GCF of 576,496,133 as per the given fractions.

GCF of 576,496,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,79,628

LCM of Fractions 23/576,79/496,628/133 is 1141076

Given numbers has no common factors except 1. So, there LCM is their product i.e 1141076

Least Common Multiple of 23,79,628 with GCF Formula

Least Common Multiple of 23,79,628 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 23,79,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,79,628) = 1

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

GCF(23,79,628) x common factors =1 x 1 = 1

LCM(23,79,628) = ( 23 × 79 × 628 ) / 1

LCM(23,79,628) = 1141076 / 1

LCM(23,79,628) = 1141076


Lets's calculate GCF of 576,496,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1141076/1

Therefore the LCM of Fractions 23/576,79/496,628/133 is 1141076

Greatest Common Factor of 576,496,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,496,133 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 576,496,133 . The biggest common factor number is the GCF number.
So the greatest common factor 576,496,133 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 23/576, 79/496, 628/133

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 23/576, 79/496, 628/133?

Answer: LCM of Numerators as per given numbers 23/576, 79/496, 628/133 is

LCM of Numerators i.e. for 23,79,628 is 1141076

GCF of denominators i.e. for 576,496,133 is 1.

Thus, LCM of Fractions is 1141076.Finally, LCM of Fractions for 23/576, 79/496, 628/133 is 1141076.