Least Common Multiple of 86/96, 56/171, 452/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/96, 56/171, 452/789 quickly i.e. 272104/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/96, 56/171, 452/789 is 272104/3.

LCM(86/96, 56/171, 452/789) = 272104/3

LCM of 86/96, 56/171, 452/789

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 86/96,56/171,452/789

Given numbers are 86/96,56/171,452/789

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 86,56,452

Least Common Multiple of Numerators i.e. LCM of 86,56,452 is 272104.

GCF of Denominators means GCF of 96,171,789 as per the given fractions.

GCF of 96,171,789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,56,452

LCM of Fractions 86/96,56/171,452/789 is 272104/3

2 86, 56, 452
2 43, 28, 226
43, 14, 113

∴ So the LCM of the given numbers is 2 x 2 x 43 x 14 x 113 = 272104

Least Common Multiple of 86,56,452 with GCF Formula

Least Common Multiple of 86,56,452 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 86,56,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,56,452) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(86,56,452) x common factors =2 x 4 = 8

LCM(86,56,452) = ( 86 × 56 × 452 ) / 8

LCM(86,56,452) = 2176832 / 8

LCM(86,56,452) = 272104


Lets's calculate GCF of 96,171,789

3 96, 171, 789
32, 57, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272104/3

Therefore the LCM of Fractions 86/96,56/171,452/789 is 272104/3

Greatest Common Factor of 96,171,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,171,789 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 96,171,789 . The biggest common factor number is the GCF number.
So the greatest common factor 96,171,789 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 86/96, 56/171, 452/789

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 86/96, 56/171, 452/789?

Answer: LCM of Numerators as per given numbers 86/96, 56/171, 452/789 is

LCM of Numerators i.e. for 86,56,452 is 272104

GCF of denominators i.e. for 96,171,789 is 3.

Thus, LCM of Fractions is 272104/3.Finally, LCM of Fractions for 86/96, 56/171, 452/789 is 272104/3.