Least Common Multiple of 581/87, 364/4263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/87, 364/4263 quickly i.e. 30212/87 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/87, 364/4263 is 30212/87.

LCM(581/87, 364/4263) = 30212/87

LCM of 581/87, 364/4263

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 581/87,364/4263

Given numbers are 581/87,364/4263

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 581,364

Least Common Multiple of Numerators i.e. LCM of 581,364 is 30212.

GCF of Denominators means GCF of 87,4263 as per the given fractions.

GCF of 87,4263 is 87 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,364

LCM of Fractions 581/87,364/4263 is 30212/87

7 581, 364
83, 52

∴ So the LCM of the given numbers is 7 x 83 x 52 = 30212

Least Common Multiple of 581,364 with GCF Formula

Least Common Multiple of 581,364 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 581,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,364) = 7

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

GCF(581,364) x common factors =7 x 1 = 7

LCM(581,364) = ( 581 × 364 ) / 7

LCM(581,364) = 211484 / 7

LCM(581,364) = 30212


Lets's calculate GCF of 87,4263

3 87, 4263
29 29, 1421
1, 49

∴ So the GCF of the given numbers is 3 x 29 = 87

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30212/87

Therefore the LCM of Fractions 581/87,364/4263 is 30212/87

Greatest Common Factor of 87,4263 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,4263 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1,3,7,21,29,49,87,147,203,609,1421,4263

Greatest Common Factor

We found the factors 87,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 87,4263 is 87.


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 581/87, 364/4263

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 581/87, 364/4263?

Answer: LCM of Numerators as per given numbers 581/87, 364/4263 is

LCM of Numerators i.e. for 581,364 is 30212

GCF of denominators i.e. for 87,4263 is 87.

Thus, LCM of Fractions is 30212/87.Finally, LCM of Fractions for 581/87, 364/4263 is 30212/87.