Least Common Multiple of 226/806, 569/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 226/806, 569/434 quickly i.e. 128594/62 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 226/806, 569/434 is 128594/62.

LCM(226/806, 569/434) = 128594/62

LCM of 226/806, 569/434

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 226/806,569/434

Given numbers are 226/806,569/434

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 226,569

Least Common Multiple of Numerators i.e. LCM of 226,569 is 128594.

GCF of Denominators means GCF of 806,434 as per the given fractions.

GCF of 806,434 is 62 as it is the largest common factor for these numbers.

Lets's calculate LCM of 226,569

LCM of Fractions 226/806,569/434 is 128594/62

Given numbers has no common factors except 1. So, there LCM is their product i.e 128594

Least Common Multiple of 226,569 with GCF Formula

Least Common Multiple of 226,569 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 226,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,569) = 1

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

GCF(226,569) x common factors =1 x 1 = 1

LCM(226,569) = ( 226 × 569 ) / 1

LCM(226,569) = 128594 / 1

LCM(226,569) = 128594


Lets's calculate GCF of 806,434

2 806, 434
31 403, 217
13, 7

∴ So the GCF of the given numbers is 2 x 31 = 62

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128594/62

Therefore the LCM of Fractions 226/806,569/434 is 128594/62

Greatest Common Factor of 806,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,434 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 806,434 . The biggest common factor number is the GCF number.
So the greatest common factor 806,434 is 62.


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 226/806, 569/434

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 226/806, 569/434?

Answer: LCM of Numerators as per given numbers 226/806, 569/434 is

LCM of Numerators i.e. for 226,569 is 128594

GCF of denominators i.e. for 806,434 is 62.

Thus, LCM of Fractions is 128594/62.Finally, LCM of Fractions for 226/806, 569/434 is 128594/62.