Least Common Multiple of 23/122, 580/923, 827/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/122, 580/923, 827/983 quickly i.e. 11032180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/122, 580/923, 827/983 is 11032180.

LCM(23/122, 580/923, 827/983) = 11032180

LCM of 23/122, 580/923, 827/983

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 23/122,580/923,827/983

Given numbers are 23/122,580/923,827/983

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 23,580,827

Least Common Multiple of Numerators i.e. LCM of 23,580,827 is 11032180.

GCF of Denominators means GCF of 122,923,983 as per the given fractions.

GCF of 122,923,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,580,827

LCM of Fractions 23/122,580/923,827/983 is 11032180

Given numbers has no common factors except 1. So, there LCM is their product i.e 11032180

Least Common Multiple of 23,580,827 with GCF Formula

Least Common Multiple of 23,580,827 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 23,580,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,580,827) = 1

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

GCF(23,580,827) x common factors =1 x 1 = 1

LCM(23,580,827) = ( 23 × 580 × 827 ) / 1

LCM(23,580,827) = 11032180 / 1

LCM(23,580,827) = 11032180


Lets's calculate GCF of 122,923,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11032180/1

Therefore the LCM of Fractions 23/122,580/923,827/983 is 11032180

Greatest Common Factor of 122,923,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,923,983 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 122,923,983 . The biggest common factor number is the GCF number.
So the greatest common factor 122,923,983 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 23/122, 580/923, 827/983

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 23/122, 580/923, 827/983?

Answer: LCM of Numerators as per given numbers 23/122, 580/923, 827/983 is

LCM of Numerators i.e. for 23,580,827 is 11032180

GCF of denominators i.e. for 122,923,983 is 1.

Thus, LCM of Fractions is 11032180.Finally, LCM of Fractions for 23/122, 580/923, 827/983 is 11032180.