Least Common Multiple of 581/350, 576/282, 825/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/350, 576/282, 825/818 quickly i.e. 46015200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/350, 576/282, 825/818 is 46015200.

LCM(581/350, 576/282, 825/818) = 46015200

LCM of 581/350, 576/282, 825/818

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 581/350,576/282,825/818

Given numbers are 581/350,576/282,825/818

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 581,576,825

Least Common Multiple of Numerators i.e. LCM of 581,576,825 is 92030400.

GCF of Denominators means GCF of 350,282,818 as per the given fractions.

GCF of 350,282,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,576,825

LCM of Fractions 581/350,576/282,825/818 is 46015200

3 581, 576, 825
581, 192, 275

∴ So the LCM of the given numbers is 3 x 581 x 192 x 275 = 92030400

Least Common Multiple of 581,576,825 with GCF Formula

Least Common Multiple of 581,576,825 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 581,576,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,576,825) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(581,576,825) x common factors =1 x 3 = 3

LCM(581,576,825) = ( 581 × 576 × 825 ) / 3

LCM(581,576,825) = 276091200 / 3

LCM(581,576,825) = 92030400


Lets's calculate GCF of 350,282,818

2 350, 282, 818
175, 141, 409

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92030400/2

Therefore the LCM of Fractions 581/350,576/282,825/818 is 46015200

Greatest Common Factor of 350,282,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,282,818 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 350,282,818 . The biggest common factor number is the GCF number.
So the greatest common factor 350,282,818 is 2.


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 581/350, 576/282, 825/818

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 581/350, 576/282, 825/818?

Answer: LCM of Numerators as per given numbers 581/350, 576/282, 825/818 is

LCM of Numerators i.e. for 581,576,825 is 92030400

GCF of denominators i.e. for 350,282,818 is 2.

Thus, LCM of Fractions is 46015200.Finally, LCM of Fractions for 581/350, 576/282, 825/818 is 46015200.