Least Common Multiple of 96/27, 90/55, 51/34, 45/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/27, 90/55, 51/34, 45/839 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/27, 90/55, 51/34, 45/839 is 24480.

LCM(96/27, 90/55, 51/34, 45/839) = 24480

LCM of 96/27, 90/55, 51/34, 45/839

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 96/27,90/55,51/34,45/839

Given numbers are 96/27,90/55,51/34,45/839

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 96,90,51,45

Least Common Multiple of Numerators i.e. LCM of 96,90,51,45 is 24480.

GCF of Denominators means GCF of 27,55,34,839 as per the given fractions.

GCF of 27,55,34,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,90,51,45

LCM of Fractions 96/27,90/55,51/34,45/839 is 24480

2 96, 90, 51, 45
3 48, 45, 51, 45
3 16, 15, 17, 15
5 16, 5, 17, 5
16, 1, 17, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 16 x 1 x 17 x 1 = 24480

Least Common Multiple of 96,90,51,45 with GCF Formula

Least Common Multiple of 96,90,51,45 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 96,90,51,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,90,51,45) = 3

common factors(in case of two or more numbers have common factors) = 270

GCF(96,90,51,45) x common factors =3 x 270 = 810

LCM(96,90,51,45) = ( 96 × 90 × 51 × 45 ) / 810

LCM(96,90,51,45) = 19828800 / 810

LCM(96,90,51,45) = 24480


Lets's calculate GCF of 27,55,34,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1

Therefore the LCM of Fractions 96/27,90/55,51/34,45/839 is 24480

Greatest Common Factor of 27,55,34,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,55,34,839 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 27,55,34,839 . The biggest common factor number is the GCF number.
So the greatest common factor 27,55,34,839 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 96/27, 90/55, 51/34, 45/839

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 96/27, 90/55, 51/34, 45/839?

Answer: LCM of Numerators as per given numbers 96/27, 90/55, 51/34, 45/839 is

LCM of Numerators i.e. for 96,90,51,45 is 24480

GCF of denominators i.e. for 27,55,34,839 is 1.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 96/27, 90/55, 51/34, 45/839 is 24480.