Least Common Multiple of 86/510, 91/438, 672/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/510, 91/438, 672/230 quickly i.e. 187824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/510, 91/438, 672/230 is 187824.

LCM(86/510, 91/438, 672/230) = 187824

LCM of 86/510, 91/438, 672/230

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 86/510,91/438,672/230

Given numbers are 86/510,91/438,672/230

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 86,91,672

Least Common Multiple of Numerators i.e. LCM of 86,91,672 is 375648.

GCF of Denominators means GCF of 510,438,230 as per the given fractions.

GCF of 510,438,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,91,672

LCM of Fractions 86/510,91/438,672/230 is 187824

2 86, 91, 672
7 43, 91, 336
43, 13, 48

∴ So the LCM of the given numbers is 2 x 7 x 43 x 13 x 48 = 375648

Least Common Multiple of 86,91,672 with GCF Formula

Least Common Multiple of 86,91,672 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 86,91,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,91,672) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(86,91,672) x common factors =1 x 14 = 14

LCM(86,91,672) = ( 86 × 91 × 672 ) / 14

LCM(86,91,672) = 5259072 / 14

LCM(86,91,672) = 375648


Lets's calculate GCF of 510,438,230

2 510, 438, 230
255, 219, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375648/2

Therefore the LCM of Fractions 86/510,91/438,672/230 is 187824

Greatest Common Factor of 510,438,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,438,230 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 510,438,230 . The biggest common factor number is the GCF number.
So the greatest common factor 510,438,230 is 2.


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 86/510, 91/438, 672/230

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 86/510, 91/438, 672/230?

Answer: LCM of Numerators as per given numbers 86/510, 91/438, 672/230 is

LCM of Numerators i.e. for 86,91,672 is 375648

GCF of denominators i.e. for 510,438,230 is 2.

Thus, LCM of Fractions is 187824.Finally, LCM of Fractions for 86/510, 91/438, 672/230 is 187824.