Least Common Multiple of 96/38, 51/23, 509/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/38, 51/23, 509/108 quickly i.e. 830688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/38, 51/23, 509/108 is 830688.

LCM(96/38, 51/23, 509/108) = 830688

LCM of 96/38, 51/23, 509/108

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 96/38,51/23,509/108

Given numbers are 96/38,51/23,509/108

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 96,51,509

Least Common Multiple of Numerators i.e. LCM of 96,51,509 is 830688.

GCF of Denominators means GCF of 38,23,108 as per the given fractions.

GCF of 38,23,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,51,509

LCM of Fractions 96/38,51/23,509/108 is 830688

3 96, 51, 509
32, 17, 509

∴ So the LCM of the given numbers is 3 x 32 x 17 x 509 = 830688

Least Common Multiple of 96,51,509 with GCF Formula

Least Common Multiple of 96,51,509 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 96,51,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,51,509) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,51,509) x common factors =1 x 3 = 3

LCM(96,51,509) = ( 96 × 51 × 509 ) / 3

LCM(96,51,509) = 2492064 / 3

LCM(96,51,509) = 830688


Lets's calculate GCF of 38,23,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830688/1

Therefore the LCM of Fractions 96/38,51/23,509/108 is 830688

Greatest Common Factor of 38,23,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,23,108 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 38,23,108 . The biggest common factor number is the GCF number.
So the greatest common factor 38,23,108 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 96/38, 51/23, 509/108

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 96/38, 51/23, 509/108?

Answer: LCM of Numerators as per given numbers 96/38, 51/23, 509/108 is

LCM of Numerators i.e. for 96,51,509 is 830688

GCF of denominators i.e. for 38,23,108 is 1.

Thus, LCM of Fractions is 830688.Finally, LCM of Fractions for 96/38, 51/23, 509/108 is 830688.