Least Common Multiple of 86/288, 84/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/288, 84/432 quickly i.e. 3612/144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/288, 84/432 is 3612/144.

LCM(86/288, 84/432) = 3612/144

LCM of 86/288, 84/432

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 86/288,84/432

Given numbers are 86/288,84/432

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 86,84

Least Common Multiple of Numerators i.e. LCM of 86,84 is 3612.

GCF of Denominators means GCF of 288,432 as per the given fractions.

GCF of 288,432 is 144 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,84

LCM of Fractions 86/288,84/432 is 3612/144

2 86, 84
43, 42

∴ So the LCM of the given numbers is 2 x 43 x 42 = 3612

Least Common Multiple of 86,84 with GCF Formula

Least Common Multiple of 86,84 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 86,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,84) = 2

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

GCF(86,84) x common factors =2 x 1 = 2

LCM(86,84) = ( 86 × 84 ) / 2

LCM(86,84) = 7224 / 2

LCM(86,84) = 3612


Lets's calculate GCF of 288,432

2 288, 432
2 144, 216
2 72, 108
2 36, 54
3 18, 27
3 6, 9
2, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3612/144

Therefore the LCM of Fractions 86/288,84/432 is 3612/144

Greatest Common Factor of 288,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,432 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

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

Greatest Common Factor

We found the factors 288,432 . The biggest common factor number is the GCF number.
So the greatest common factor 288,432 is 144.


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 86/288, 84/432

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 86/288, 84/432?

Answer: LCM of Numerators as per given numbers 86/288, 84/432 is

LCM of Numerators i.e. for 86,84 is 3612

GCF of denominators i.e. for 288,432 is 144.

Thus, LCM of Fractions is 3612/144.Finally, LCM of Fractions for 86/288, 84/432 is 3612/144.