Least Common Multiple of 23/427, 561/577, 583/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/427, 561/577, 583/485 quickly i.e. 683859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/427, 561/577, 583/485 is 683859.

LCM(23/427, 561/577, 583/485) = 683859

LCM of 23/427, 561/577, 583/485

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 23/427,561/577,583/485

Given numbers are 23/427,561/577,583/485

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 23,561,583

Least Common Multiple of Numerators i.e. LCM of 23,561,583 is 683859.

GCF of Denominators means GCF of 427,577,485 as per the given fractions.

GCF of 427,577,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,561,583

LCM of Fractions 23/427,561/577,583/485 is 683859

11 23, 561, 583
23, 51, 53

∴ So the LCM of the given numbers is 11 x 23 x 51 x 53 = 683859

Least Common Multiple of 23,561,583 with GCF Formula

Least Common Multiple of 23,561,583 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 23,561,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,561,583) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(23,561,583) x common factors =1 x 11 = 11

LCM(23,561,583) = ( 23 × 561 × 583 ) / 11

LCM(23,561,583) = 7522449 / 11

LCM(23,561,583) = 683859


Lets's calculate GCF of 427,577,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683859/1

Therefore the LCM of Fractions 23/427,561/577,583/485 is 683859

Greatest Common Factor of 427,577,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,577,485 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 427,577,485 . The biggest common factor number is the GCF number.
So the greatest common factor 427,577,485 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 23/427, 561/577, 583/485

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 23/427, 561/577, 583/485?

Answer: LCM of Numerators as per given numbers 23/427, 561/577, 583/485 is

LCM of Numerators i.e. for 23,561,583 is 683859

GCF of denominators i.e. for 427,577,485 is 1.

Thus, LCM of Fractions is 683859.Finally, LCM of Fractions for 23/427, 561/577, 583/485 is 683859.