Least Common Multiple of 23/289, 400/789, 680/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/289, 400/789, 680/424 quickly i.e. 156400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/289, 400/789, 680/424 is 156400.

LCM(23/289, 400/789, 680/424) = 156400

LCM of 23/289, 400/789, 680/424

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 23/289,400/789,680/424

Given numbers are 23/289,400/789,680/424

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 23,400,680

Least Common Multiple of Numerators i.e. LCM of 23,400,680 is 156400.

GCF of Denominators means GCF of 289,789,424 as per the given fractions.

GCF of 289,789,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,400,680

LCM of Fractions 23/289,400/789,680/424 is 156400

2 23, 400, 680
2 23, 200, 340
2 23, 100, 170
5 23, 50, 85
23, 10, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 23 x 10 x 17 = 156400

Least Common Multiple of 23,400,680 with GCF Formula

Least Common Multiple of 23,400,680 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 23,400,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,400,680) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(23,400,680) x common factors =1 x 40 = 40

LCM(23,400,680) = ( 23 × 400 × 680 ) / 40

LCM(23,400,680) = 6256000 / 40

LCM(23,400,680) = 156400


Lets's calculate GCF of 289,789,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156400/1

Therefore the LCM of Fractions 23/289,400/789,680/424 is 156400

Greatest Common Factor of 289,789,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,789,424 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 289,789,424 . The biggest common factor number is the GCF number.
So the greatest common factor 289,789,424 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 23/289, 400/789, 680/424

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 23/289, 400/789, 680/424?

Answer: LCM of Numerators as per given numbers 23/289, 400/789, 680/424 is

LCM of Numerators i.e. for 23,400,680 is 156400

GCF of denominators i.e. for 289,789,424 is 1.

Thus, LCM of Fractions is 156400.Finally, LCM of Fractions for 23/289, 400/789, 680/424 is 156400.