Least Common Multiple of 12/96, 37/29, 35/26, 34/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/96, 37/29, 35/26, 34/727 quickly i.e. 264180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/96, 37/29, 35/26, 34/727 is 264180.

LCM(12/96, 37/29, 35/26, 34/727) = 264180

LCM of 12/96, 37/29, 35/26, 34/727

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 12/96,37/29,35/26,34/727

Given numbers are 12/96,37/29,35/26,34/727

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 12,37,35,34

Least Common Multiple of Numerators i.e. LCM of 12,37,35,34 is 264180.

GCF of Denominators means GCF of 96,29,26,727 as per the given fractions.

GCF of 96,29,26,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,37,35,34

LCM of Fractions 12/96,37/29,35/26,34/727 is 264180

2 12, 37, 35, 34
6, 37, 35, 17

∴ So the LCM of the given numbers is 2 x 6 x 37 x 35 x 17 = 264180

Least Common Multiple of 12,37,35,34 with GCF Formula

Least Common Multiple of 12,37,35,34 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 12,37,35,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,37,35,34) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,37,35,34) x common factors =1 x 2 = 2

LCM(12,37,35,34) = ( 12 × 37 × 35 × 34 ) / 2

LCM(12,37,35,34) = 528360 / 2

LCM(12,37,35,34) = 264180


Lets's calculate GCF of 96,29,26,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264180/1

Therefore the LCM of Fractions 12/96,37/29,35/26,34/727 is 264180

Greatest Common Factor of 96,29,26,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,29,26,727 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 96,29,26,727 . The biggest common factor number is the GCF number.
So the greatest common factor 96,29,26,727 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 12/96, 37/29, 35/26, 34/727

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 12/96, 37/29, 35/26, 34/727?

Answer: LCM of Numerators as per given numbers 12/96, 37/29, 35/26, 34/727 is

LCM of Numerators i.e. for 12,37,35,34 is 264180

GCF of denominators i.e. for 96,29,26,727 is 1.

Thus, LCM of Fractions is 264180.Finally, LCM of Fractions for 12/96, 37/29, 35/26, 34/727 is 264180.