Least Common Multiple of 4256/681, 7569/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4256/681, 7569/227 quickly i.e. 32213664/227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4256/681, 7569/227 is 32213664/227.

LCM(4256/681, 7569/227) = 32213664/227

LCM of 4256/681, 7569/227

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 4256/681,7569/227

Given numbers are 4256/681,7569/227

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 4256,7569

Least Common Multiple of Numerators i.e. LCM of 4256,7569 is 32213664.

GCF of Denominators means GCF of 681,227 as per the given fractions.

GCF of 681,227 is 227 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4256,7569

LCM of Fractions 4256/681,7569/227 is 32213664/227

Given numbers has no common factors except 1. So, there LCM is their product i.e 32213664

Least Common Multiple of 4256,7569 with GCF Formula

Least Common Multiple of 4256,7569 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 4256,7569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4256,7569) = 1

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

GCF(4256,7569) x common factors =1 x 1 = 1

LCM(4256,7569) = ( 4256 × 7569 ) / 1

LCM(4256,7569) = 32213664 / 1

LCM(4256,7569) = 32213664


Lets's calculate GCF of 681,227

227 681, 227
3, 1

∴ So the GCF of the given numbers is 227 = 227

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32213664/227

Therefore the LCM of Fractions 4256/681,7569/227 is 32213664/227

Greatest Common Factor of 681,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,227 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 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 681,227 . The biggest common factor number is the GCF number.
So the greatest common factor 681,227 is 227.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4256/681, 7569/227

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 4256/681, 7569/227?

Answer: LCM of Numerators as per given numbers 4256/681, 7569/227 is

LCM of Numerators i.e. for 4256,7569 is 32213664

GCF of denominators i.e. for 681,227 is 227.

Thus, LCM of Fractions is 32213664/227.Finally, LCM of Fractions for 4256/681, 7569/227 is 32213664/227.