Least Common Multiple of 465/78, 511/5184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/78, 511/5184 quickly i.e. 237615/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/78, 511/5184 is 237615/6.

LCM(465/78, 511/5184) = 237615/6

LCM of 465/78, 511/5184

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 465/78,511/5184

Given numbers are 465/78,511/5184

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 465,511

Least Common Multiple of Numerators i.e. LCM of 465,511 is 237615.

GCF of Denominators means GCF of 78,5184 as per the given fractions.

GCF of 78,5184 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,511

LCM of Fractions 465/78,511/5184 is 237615/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 237615

Least Common Multiple of 465,511 with GCF Formula

Least Common Multiple of 465,511 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 465,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,511) = 1

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

GCF(465,511) x common factors =1 x 1 = 1

LCM(465,511) = ( 465 × 511 ) / 1

LCM(465,511) = 237615 / 1

LCM(465,511) = 237615


Lets's calculate GCF of 78,5184

2 78, 5184
3 39, 2592
13, 864

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237615/6

Therefore the LCM of Fractions 465/78,511/5184 is 237615/6

Greatest Common Factor of 78,5184 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,5184 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184

Greatest Common Factor

We found the factors 78,5184 . The biggest common factor number is the GCF number.
So the greatest common factor 78,5184 is 6.


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 465/78, 511/5184

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 465/78, 511/5184?

Answer: LCM of Numerators as per given numbers 465/78, 511/5184 is

LCM of Numerators i.e. for 465,511 is 237615

GCF of denominators i.e. for 78,5184 is 6.

Thus, LCM of Fractions is 237615/6.Finally, LCM of Fractions for 465/78, 511/5184 is 237615/6.