Least Common Multiple of 269/580, 4456/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/580, 4456/424 quickly i.e. 299666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/580, 4456/424 is 299666.

LCM(269/580, 4456/424) = 299666

LCM of 269/580, 4456/424

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 269/580,4456/424

Given numbers are 269/580,4456/424

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 269,4456

Least Common Multiple of Numerators i.e. LCM of 269,4456 is 1198664.

GCF of Denominators means GCF of 580,424 as per the given fractions.

GCF of 580,424 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,4456

LCM of Fractions 269/580,4456/424 is 299666

Given numbers has no common factors except 1. So, there LCM is their product i.e 1198664

Least Common Multiple of 269,4456 with GCF Formula

Least Common Multiple of 269,4456 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 269,4456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,4456) = 1

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

GCF(269,4456) x common factors =1 x 1 = 1

LCM(269,4456) = ( 269 × 4456 ) / 1

LCM(269,4456) = 1198664 / 1

LCM(269,4456) = 1198664


Lets's calculate GCF of 580,424

2 580, 424
2 290, 212
145, 106

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1198664/4

Therefore the LCM of Fractions 269/580,4456/424 is 299666

Greatest Common Factor of 580,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,424 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

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 580,424 . The biggest common factor number is the GCF number.
So the greatest common factor 580,424 is 4.


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 269/580, 4456/424

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 269/580, 4456/424?

Answer: LCM of Numerators as per given numbers 269/580, 4456/424 is

LCM of Numerators i.e. for 269,4456 is 1198664

GCF of denominators i.e. for 580,424 is 4.

Thus, LCM of Fractions is 299666.Finally, LCM of Fractions for 269/580, 4456/424 is 299666.