Least Common Multiple of 234/582, 367/608, 585/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/582, 367/608, 585/773 quickly i.e. 429390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/582, 367/608, 585/773 is 429390.

LCM(234/582, 367/608, 585/773) = 429390

LCM of 234/582, 367/608, 585/773

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 234/582,367/608,585/773

Given numbers are 234/582,367/608,585/773

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 234,367,585

Least Common Multiple of Numerators i.e. LCM of 234,367,585 is 429390.

GCF of Denominators means GCF of 582,608,773 as per the given fractions.

GCF of 582,608,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,367,585

LCM of Fractions 234/582,367/608,585/773 is 429390

3 234, 367, 585
3 78, 367, 195
13 26, 367, 65
2, 367, 5

∴ So the LCM of the given numbers is 3 x 3 x 13 x 2 x 367 x 5 = 429390

Least Common Multiple of 234,367,585 with GCF Formula

Least Common Multiple of 234,367,585 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 234,367,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,367,585) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(234,367,585) x common factors =1 x 117 = 117

LCM(234,367,585) = ( 234 × 367 × 585 ) / 117

LCM(234,367,585) = 50238630 / 117

LCM(234,367,585) = 429390


Lets's calculate GCF of 582,608,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429390/1

Therefore the LCM of Fractions 234/582,367/608,585/773 is 429390

Greatest Common Factor of 582,608,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,608,773 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 582,608,773 . The biggest common factor number is the GCF number.
So the greatest common factor 582,608,773 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 234/582, 367/608, 585/773

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 234/582, 367/608, 585/773?

Answer: LCM of Numerators as per given numbers 234/582, 367/608, 585/773 is

LCM of Numerators i.e. for 234,367,585 is 429390

GCF of denominators i.e. for 582,608,773 is 1.

Thus, LCM of Fractions is 429390.Finally, LCM of Fractions for 234/582, 367/608, 585/773 is 429390.