Least Common Multiple of 588/71, 227/5880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 588/71, 227/5880 quickly i.e. 133476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/71, 227/5880 is 133476.

LCM(588/71, 227/5880) = 133476

LCM of 588/71, 227/5880

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 588/71,227/5880

Given numbers are 588/71,227/5880

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 588,227

Least Common Multiple of Numerators i.e. LCM of 588,227 is 133476.

GCF of Denominators means GCF of 71,5880 as per the given fractions.

GCF of 71,5880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,227

LCM of Fractions 588/71,227/5880 is 133476

Given numbers has no common factors except 1. So, there LCM is their product i.e 133476

Least Common Multiple of 588,227 with GCF Formula

Least Common Multiple of 588,227 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 588,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,227) = 1

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

GCF(588,227) x common factors =1 x 1 = 1

LCM(588,227) = ( 588 × 227 ) / 1

LCM(588,227) = 133476 / 1

LCM(588,227) = 133476


Lets's calculate GCF of 71,5880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133476/1

Therefore the LCM of Fractions 588/71,227/5880 is 133476

Greatest Common Factor of 71,5880 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,5880 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880

Greatest Common Factor

We found the factors 71,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 71,5880 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 588/71, 227/5880

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 588/71, 227/5880?

Answer: LCM of Numerators as per given numbers 588/71, 227/5880 is

LCM of Numerators i.e. for 588,227 is 133476

GCF of denominators i.e. for 71,5880 is 1.

Thus, LCM of Fractions is 133476.Finally, LCM of Fractions for 588/71, 227/5880 is 133476.