Least Common Multiple of 23/681, 52/722, 469/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/681, 52/722, 469/409 quickly i.e. 560924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/681, 52/722, 469/409 is 560924.

LCM(23/681, 52/722, 469/409) = 560924

LCM of 23/681, 52/722, 469/409

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 23/681,52/722,469/409

Given numbers are 23/681,52/722,469/409

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 23,52,469

Least Common Multiple of Numerators i.e. LCM of 23,52,469 is 560924.

GCF of Denominators means GCF of 681,722,409 as per the given fractions.

GCF of 681,722,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,52,469

LCM of Fractions 23/681,52/722,469/409 is 560924

Given numbers has no common factors except 1. So, there LCM is their product i.e 560924

Least Common Multiple of 23,52,469 with GCF Formula

Least Common Multiple of 23,52,469 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 23,52,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,52,469) = 1

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

GCF(23,52,469) x common factors =1 x 1 = 1

LCM(23,52,469) = ( 23 × 52 × 469 ) / 1

LCM(23,52,469) = 560924 / 1

LCM(23,52,469) = 560924


Lets's calculate GCF of 681,722,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560924/1

Therefore the LCM of Fractions 23/681,52/722,469/409 is 560924

Greatest Common Factor of 681,722,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,722,409 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 681,722,409 . The biggest common factor number is the GCF number.
So the greatest common factor 681,722,409 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 23/681, 52/722, 469/409

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 23/681, 52/722, 469/409?

Answer: LCM of Numerators as per given numbers 23/681, 52/722, 469/409 is

LCM of Numerators i.e. for 23,52,469 is 560924

GCF of denominators i.e. for 681,722,409 is 1.

Thus, LCM of Fractions is 560924.Finally, LCM of Fractions for 23/681, 52/722, 469/409 is 560924.