Least Common Multiple of 613/228, 443/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/228, 443/741 quickly i.e. 271559/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/228, 443/741 is 271559/57.

LCM(613/228, 443/741) = 271559/57

LCM of 613/228, 443/741

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 613/228,443/741

Given numbers are 613/228,443/741

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 613,443

Least Common Multiple of Numerators i.e. LCM of 613,443 is 271559.

GCF of Denominators means GCF of 228,741 as per the given fractions.

GCF of 228,741 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,443

LCM of Fractions 613/228,443/741 is 271559/57

Given numbers has no common factors except 1. So, there LCM is their product i.e 271559

Least Common Multiple of 613,443 with GCF Formula

Least Common Multiple of 613,443 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 613,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,443) = 1

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

GCF(613,443) x common factors =1 x 1 = 1

LCM(613,443) = ( 613 × 443 ) / 1

LCM(613,443) = 271559 / 1

LCM(613,443) = 271559


Lets's calculate GCF of 228,741

3 228, 741
19 76, 247
4, 13

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271559/57

Therefore the LCM of Fractions 613/228,443/741 is 271559/57

Greatest Common Factor of 228,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,741 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 228,741 . The biggest common factor number is the GCF number.
So the greatest common factor 228,741 is 57.


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 613/228, 443/741

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 613/228, 443/741?

Answer: LCM of Numerators as per given numbers 613/228, 443/741 is

LCM of Numerators i.e. for 613,443 is 271559

GCF of denominators i.e. for 228,741 is 57.

Thus, LCM of Fractions is 271559/57.Finally, LCM of Fractions for 613/228, 443/741 is 271559/57.