Least Common Multiple of 303/432, 5819/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 303/432, 5819/514 quickly i.e. 1763157/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 303/432, 5819/514 is 1763157/2.

LCM(303/432, 5819/514) = 1763157/2

LCM of 303/432, 5819/514

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 303/432,5819/514

Given numbers are 303/432,5819/514

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 303,5819

Least Common Multiple of Numerators i.e. LCM of 303,5819 is 1763157.

GCF of Denominators means GCF of 432,514 as per the given fractions.

GCF of 432,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 303,5819

LCM of Fractions 303/432,5819/514 is 1763157/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1763157

Least Common Multiple of 303,5819 with GCF Formula

Least Common Multiple of 303,5819 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 303,5819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,5819) = 1

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

GCF(303,5819) x common factors =1 x 1 = 1

LCM(303,5819) = ( 303 × 5819 ) / 1

LCM(303,5819) = 1763157 / 1

LCM(303,5819) = 1763157


Lets's calculate GCF of 432,514

2 432, 514
216, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1763157/2

Therefore the LCM of Fractions 303/432,5819/514 is 1763157/2

Greatest Common Factor of 432,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,514 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 432,514 . The biggest common factor number is the GCF number.
So the greatest common factor 432,514 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 303/432, 5819/514

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 303/432, 5819/514?

Answer: LCM of Numerators as per given numbers 303/432, 5819/514 is

LCM of Numerators i.e. for 303,5819 is 1763157

GCF of denominators i.e. for 432,514 is 2.

Thus, LCM of Fractions is 1763157/2.Finally, LCM of Fractions for 303/432, 5819/514 is 1763157/2.