Least Common Multiple of 392/269, 493/452, 225/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/269, 493/452, 225/561 quickly i.e. 43482600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/269, 493/452, 225/561 is 43482600.

LCM(392/269, 493/452, 225/561) = 43482600

LCM of 392/269, 493/452, 225/561

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 392/269,493/452,225/561

Given numbers are 392/269,493/452,225/561

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 392,493,225

Least Common Multiple of Numerators i.e. LCM of 392,493,225 is 43482600.

GCF of Denominators means GCF of 269,452,561 as per the given fractions.

GCF of 269,452,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,493,225

LCM of Fractions 392/269,493/452,225/561 is 43482600

Given numbers has no common factors except 1. So, there LCM is their product i.e 43482600

Least Common Multiple of 392,493,225 with GCF Formula

Least Common Multiple of 392,493,225 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 392,493,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,493,225) = 1

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

GCF(392,493,225) x common factors =1 x 1 = 1

LCM(392,493,225) = ( 392 × 493 × 225 ) / 1

LCM(392,493,225) = 43482600 / 1

LCM(392,493,225) = 43482600


Lets's calculate GCF of 269,452,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43482600/1

Therefore the LCM of Fractions 392/269,493/452,225/561 is 43482600

Greatest Common Factor of 269,452,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,452,561 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 269,452,561 . The biggest common factor number is the GCF number.
So the greatest common factor 269,452,561 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 392/269, 493/452, 225/561

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 392/269, 493/452, 225/561?

Answer: LCM of Numerators as per given numbers 392/269, 493/452, 225/561 is

LCM of Numerators i.e. for 392,493,225 is 43482600

GCF of denominators i.e. for 269,452,561 is 1.

Thus, LCM of Fractions is 43482600.Finally, LCM of Fractions for 392/269, 493/452, 225/561 is 43482600.