Least Common Multiple of 96/24, 842/20, 587/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/24, 842/20, 587/546 quickly i.e. 11862096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/24, 842/20, 587/546 is 11862096.

LCM(96/24, 842/20, 587/546) = 11862096

LCM of 96/24, 842/20, 587/546

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 96/24,842/20,587/546

Given numbers are 96/24,842/20,587/546

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 96,842,587

Least Common Multiple of Numerators i.e. LCM of 96,842,587 is 23724192.

GCF of Denominators means GCF of 24,20,546 as per the given fractions.

GCF of 24,20,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,842,587

LCM of Fractions 96/24,842/20,587/546 is 11862096

2 96, 842, 587
48, 421, 587

∴ So the LCM of the given numbers is 2 x 48 x 421 x 587 = 23724192

Least Common Multiple of 96,842,587 with GCF Formula

Least Common Multiple of 96,842,587 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 96,842,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,842,587) = 1

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

GCF(96,842,587) x common factors =1 x 2 = 2

LCM(96,842,587) = ( 96 × 842 × 587 ) / 2

LCM(96,842,587) = 47448384 / 2

LCM(96,842,587) = 23724192


Lets's calculate GCF of 24,20,546

2 24, 20, 546
12, 10, 273

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23724192/2

Therefore the LCM of Fractions 96/24,842/20,587/546 is 11862096

Greatest Common Factor of 24,20,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,20,546 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 24,20,546 . The biggest common factor number is the GCF number.
So the greatest common factor 24,20,546 is 2.


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 96/24, 842/20, 587/546

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 96/24, 842/20, 587/546?

Answer: LCM of Numerators as per given numbers 96/24, 842/20, 587/546 is

LCM of Numerators i.e. for 96,842,587 is 23724192

GCF of denominators i.e. for 24,20,546 is 2.

Thus, LCM of Fractions is 11862096.Finally, LCM of Fractions for 96/24, 842/20, 587/546 is 11862096.