Least Common Multiple of 23/983, 412/587, 323/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/983, 412/587, 323/188 quickly i.e. 3060748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/983, 412/587, 323/188 is 3060748.

LCM(23/983, 412/587, 323/188) = 3060748

LCM of 23/983, 412/587, 323/188

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 23/983,412/587,323/188

Given numbers are 23/983,412/587,323/188

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 23,412,323

Least Common Multiple of Numerators i.e. LCM of 23,412,323 is 3060748.

GCF of Denominators means GCF of 983,587,188 as per the given fractions.

GCF of 983,587,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,412,323

LCM of Fractions 23/983,412/587,323/188 is 3060748

Given numbers has no common factors except 1. So, there LCM is their product i.e 3060748

Least Common Multiple of 23,412,323 with GCF Formula

Least Common Multiple of 23,412,323 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 23,412,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,412,323) = 1

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

GCF(23,412,323) x common factors =1 x 1 = 1

LCM(23,412,323) = ( 23 × 412 × 323 ) / 1

LCM(23,412,323) = 3060748 / 1

LCM(23,412,323) = 3060748


Lets's calculate GCF of 983,587,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3060748/1

Therefore the LCM of Fractions 23/983,412/587,323/188 is 3060748

Greatest Common Factor of 983,587,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,587,188 By Matching Biggest Common Factor Method

Factors of 983

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

1,983

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 983,587,188 . The biggest common factor number is the GCF number.
So the greatest common factor 983,587,188 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/983, 412/587, 323/188

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 23/983, 412/587, 323/188?

Answer: LCM of Numerators as per given numbers 23/983, 412/587, 323/188 is

LCM of Numerators i.e. for 23,412,323 is 3060748

GCF of denominators i.e. for 983,587,188 is 1.

Thus, LCM of Fractions is 3060748.Finally, LCM of Fractions for 23/983, 412/587, 323/188 is 3060748.