Least Common Multiple of 571/309, 230/423, 842/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/309, 230/423, 842/774 quickly i.e. 55289930/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/309, 230/423, 842/774 is 55289930/3.

LCM(571/309, 230/423, 842/774) = 55289930/3

LCM of 571/309, 230/423, 842/774

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 571/309,230/423,842/774

Given numbers are 571/309,230/423,842/774

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 571,230,842

Least Common Multiple of Numerators i.e. LCM of 571,230,842 is 55289930.

GCF of Denominators means GCF of 309,423,774 as per the given fractions.

GCF of 309,423,774 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,230,842

LCM of Fractions 571/309,230/423,842/774 is 55289930/3

2 571, 230, 842
571, 115, 421

∴ So the LCM of the given numbers is 2 x 571 x 115 x 421 = 55289930

Least Common Multiple of 571,230,842 with GCF Formula

Least Common Multiple of 571,230,842 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 571,230,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,230,842) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(571,230,842) x common factors =1 x 2 = 2

LCM(571,230,842) = ( 571 × 230 × 842 ) / 2

LCM(571,230,842) = 110579860 / 2

LCM(571,230,842) = 55289930


Lets's calculate GCF of 309,423,774

3 309, 423, 774
103, 141, 258

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55289930/3

Therefore the LCM of Fractions 571/309,230/423,842/774 is 55289930/3

Greatest Common Factor of 309,423,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,423,774 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 309,423,774 . The biggest common factor number is the GCF number.
So the greatest common factor 309,423,774 is 3.


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 571/309, 230/423, 842/774

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 571/309, 230/423, 842/774?

Answer: LCM of Numerators as per given numbers 571/309, 230/423, 842/774 is

LCM of Numerators i.e. for 571,230,842 is 55289930

GCF of denominators i.e. for 309,423,774 is 3.

Thus, LCM of Fractions is 55289930/3.Finally, LCM of Fractions for 571/309, 230/423, 842/774 is 55289930/3.