Least Common Multiple of 86/92, 144/83, 936/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/92, 144/83, 936/360 quickly i.e. 80496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/92, 144/83, 936/360 is 80496.

LCM(86/92, 144/83, 936/360) = 80496

LCM of 86/92, 144/83, 936/360

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 86/92,144/83,936/360

Given numbers are 86/92,144/83,936/360

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 86,144,936

Least Common Multiple of Numerators i.e. LCM of 86,144,936 is 80496.

GCF of Denominators means GCF of 92,83,360 as per the given fractions.

GCF of 92,83,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,144,936

LCM of Fractions 86/92,144/83,936/360 is 80496

2 86, 144, 936
2 43, 72, 468
2 43, 36, 234
3 43, 18, 117
3 43, 6, 39
43, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 43 x 2 x 13 = 80496

Least Common Multiple of 86,144,936 with GCF Formula

Least Common Multiple of 86,144,936 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 86,144,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,144,936) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(86,144,936) x common factors =2 x 72 = 144

LCM(86,144,936) = ( 86 × 144 × 936 ) / 144

LCM(86,144,936) = 11591424 / 144

LCM(86,144,936) = 80496


Lets's calculate GCF of 92,83,360

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80496/1

Therefore the LCM of Fractions 86/92,144/83,936/360 is 80496

Greatest Common Factor of 92,83,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,83,360 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 92,83,360 . The biggest common factor number is the GCF number.
So the greatest common factor 92,83,360 is 1.


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 86/92, 144/83, 936/360

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 86/92, 144/83, 936/360?

Answer: LCM of Numerators as per given numbers 86/92, 144/83, 936/360 is

LCM of Numerators i.e. for 86,144,936 is 80496

GCF of denominators i.e. for 92,83,360 is 1.

Thus, LCM of Fractions is 80496.Finally, LCM of Fractions for 86/92, 144/83, 936/360 is 80496.