Least Common Multiple of 23/596, 258/198, 692/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/596, 258/198, 692/418 quickly i.e. 1026582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/596, 258/198, 692/418 is 1026582.

LCM(23/596, 258/198, 692/418) = 1026582

LCM of 23/596, 258/198, 692/418

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 23/596,258/198,692/418

Given numbers are 23/596,258/198,692/418

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 23,258,692

Least Common Multiple of Numerators i.e. LCM of 23,258,692 is 2053164.

GCF of Denominators means GCF of 596,198,418 as per the given fractions.

GCF of 596,198,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,258,692

LCM of Fractions 23/596,258/198,692/418 is 1026582

2 23, 258, 692
23, 129, 346

∴ So the LCM of the given numbers is 2 x 23 x 129 x 346 = 2053164

Least Common Multiple of 23,258,692 with GCF Formula

Least Common Multiple of 23,258,692 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 23,258,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,258,692) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,258,692) x common factors =1 x 2 = 2

LCM(23,258,692) = ( 23 × 258 × 692 ) / 2

LCM(23,258,692) = 4106328 / 2

LCM(23,258,692) = 2053164


Lets's calculate GCF of 596,198,418

2 596, 198, 418
298, 99, 209

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2053164/2

Therefore the LCM of Fractions 23/596,258/198,692/418 is 1026582

Greatest Common Factor of 596,198,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,198,418 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 596,198,418 . The biggest common factor number is the GCF number.
So the greatest common factor 596,198,418 is 2.


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 23/596, 258/198, 692/418

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 23/596, 258/198, 692/418?

Answer: LCM of Numerators as per given numbers 23/596, 258/198, 692/418 is

LCM of Numerators i.e. for 23,258,692 is 2053164

GCF of denominators i.e. for 596,198,418 is 2.

Thus, LCM of Fractions is 1026582.Finally, LCM of Fractions for 23/596, 258/198, 692/418 is 1026582.