Least Common Multiple of 23/690, 84/238, 326/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/690, 84/238, 326/200 quickly i.e. 157458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/690, 84/238, 326/200 is 157458.

LCM(23/690, 84/238, 326/200) = 157458

LCM of 23/690, 84/238, 326/200

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 23/690,84/238,326/200

Given numbers are 23/690,84/238,326/200

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 23,84,326

Least Common Multiple of Numerators i.e. LCM of 23,84,326 is 314916.

GCF of Denominators means GCF of 690,238,200 as per the given fractions.

GCF of 690,238,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,84,326

LCM of Fractions 23/690,84/238,326/200 is 157458

2 23, 84, 326
23, 42, 163

∴ So the LCM of the given numbers is 2 x 23 x 42 x 163 = 314916

Least Common Multiple of 23,84,326 with GCF Formula

Least Common Multiple of 23,84,326 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 23,84,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,84,326) = 1

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

GCF(23,84,326) x common factors =1 x 2 = 2

LCM(23,84,326) = ( 23 × 84 × 326 ) / 2

LCM(23,84,326) = 629832 / 2

LCM(23,84,326) = 314916


Lets's calculate GCF of 690,238,200

2 690, 238, 200
345, 119, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314916/2

Therefore the LCM of Fractions 23/690,84/238,326/200 is 157458

Greatest Common Factor of 690,238,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,238,200 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 690,238,200 . The biggest common factor number is the GCF number.
So the greatest common factor 690,238,200 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 23/690, 84/238, 326/200

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 23/690, 84/238, 326/200?

Answer: LCM of Numerators as per given numbers 23/690, 84/238, 326/200 is

LCM of Numerators i.e. for 23,84,326 is 314916

GCF of denominators i.e. for 690,238,200 is 2.

Thus, LCM of Fractions is 157458.Finally, LCM of Fractions for 23/690, 84/238, 326/200 is 157458.