Least Common Multiple of 581/29, 385/1204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/29, 385/1204 quickly i.e. 31955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/29, 385/1204 is 31955.

LCM(581/29, 385/1204) = 31955

LCM of 581/29, 385/1204

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 581/29,385/1204

Given numbers are 581/29,385/1204

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 581,385

Least Common Multiple of Numerators i.e. LCM of 581,385 is 31955.

GCF of Denominators means GCF of 29,1204 as per the given fractions.

GCF of 29,1204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,385

LCM of Fractions 581/29,385/1204 is 31955

7 581, 385
83, 55

∴ So the LCM of the given numbers is 7 x 83 x 55 = 31955

Least Common Multiple of 581,385 with GCF Formula

Least Common Multiple of 581,385 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 581,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,385) = 7

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

GCF(581,385) x common factors =7 x 1 = 7

LCM(581,385) = ( 581 × 385 ) / 7

LCM(581,385) = 223685 / 7

LCM(581,385) = 31955


Lets's calculate GCF of 29,1204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31955/1

Therefore the LCM of Fractions 581/29,385/1204 is 31955

Greatest Common Factor of 29,1204 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,1204 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1,2,4,7,14,28,43,86,172,301,602,1204

Greatest Common Factor

We found the factors 29,1204 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1204 is 1.


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 581/29, 385/1204

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 581/29, 385/1204?

Answer: LCM of Numerators as per given numbers 581/29, 385/1204 is

LCM of Numerators i.e. for 581,385 is 31955

GCF of denominators i.e. for 29,1204 is 1.

Thus, LCM of Fractions is 31955.Finally, LCM of Fractions for 581/29, 385/1204 is 31955.