Least Common Multiple of 23/80, 826/73, 497/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/80, 826/73, 497/609 quickly i.e. 1348858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/80, 826/73, 497/609 is 1348858.

LCM(23/80, 826/73, 497/609) = 1348858

LCM of 23/80, 826/73, 497/609

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 23/80,826/73,497/609

Given numbers are 23/80,826/73,497/609

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 23,826,497

Least Common Multiple of Numerators i.e. LCM of 23,826,497 is 1348858.

GCF of Denominators means GCF of 80,73,609 as per the given fractions.

GCF of 80,73,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,826,497

LCM of Fractions 23/80,826/73,497/609 is 1348858

7 23, 826, 497
23, 118, 71

∴ So the LCM of the given numbers is 7 x 23 x 118 x 71 = 1348858

Least Common Multiple of 23,826,497 with GCF Formula

Least Common Multiple of 23,826,497 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 23,826,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,826,497) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(23,826,497) x common factors =1 x 7 = 7

LCM(23,826,497) = ( 23 × 826 × 497 ) / 7

LCM(23,826,497) = 9442006 / 7

LCM(23,826,497) = 1348858


Lets's calculate GCF of 80,73,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1348858/1

Therefore the LCM of Fractions 23/80,826/73,497/609 is 1348858

Greatest Common Factor of 80,73,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,73,609 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 80,73,609 . The biggest common factor number is the GCF number.
So the greatest common factor 80,73,609 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 23/80, 826/73, 497/609

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 23/80, 826/73, 497/609?

Answer: LCM of Numerators as per given numbers 23/80, 826/73, 497/609 is

LCM of Numerators i.e. for 23,826,497 is 1348858

GCF of denominators i.e. for 80,73,609 is 1.

Thus, LCM of Fractions is 1348858.Finally, LCM of Fractions for 23/80, 826/73, 497/609 is 1348858.