Least Common Multiple of 23/84, 96/42, 84/87, 42/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/84, 96/42, 84/87, 42/831 quickly i.e. 5152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/84, 96/42, 84/87, 42/831 is 5152.

LCM(23/84, 96/42, 84/87, 42/831) = 5152

LCM of 23/84, 96/42, 84/87, 42/831

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 23/84,96/42,84/87,42/831

Given numbers are 23/84,96/42,84/87,42/831

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 23,96,84,42

Least Common Multiple of Numerators i.e. LCM of 23,96,84,42 is 15456.

GCF of Denominators means GCF of 84,42,87,831 as per the given fractions.

GCF of 84,42,87,831 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,96,84,42

LCM of Fractions 23/84,96/42,84/87,42/831 is 5152

2 23, 96, 84, 42
2 23, 48, 42, 21
3 23, 24, 21, 21
7 23, 8, 7, 7
23, 8, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 23 x 8 x 1 x 1 = 15456

Least Common Multiple of 23,96,84,42 with GCF Formula

Least Common Multiple of 23,96,84,42 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 23,96,84,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,96,84,42) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(23,96,84,42) x common factors =1 x 504 = 504

LCM(23,96,84,42) = ( 23 × 96 × 84 × 42 ) / 504

LCM(23,96,84,42) = 7789824 / 504

LCM(23,96,84,42) = 15456


Lets's calculate GCF of 84,42,87,831

3 84, 42, 87, 831
28, 14, 29, 277

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15456/3

Therefore the LCM of Fractions 23/84,96/42,84/87,42/831 is 5152

Greatest Common Factor of 84,42,87,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,42,87,831 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 84,42,87,831 . The biggest common factor number is the GCF number.
So the greatest common factor 84,42,87,831 is 3.


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 23/84, 96/42, 84/87, 42/831

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 23/84, 96/42, 84/87, 42/831?

Answer: LCM of Numerators as per given numbers 23/84, 96/42, 84/87, 42/831 is

LCM of Numerators i.e. for 23,96,84,42 is 15456

GCF of denominators i.e. for 84,42,87,831 is 3.

Thus, LCM of Fractions is 5152.Finally, LCM of Fractions for 23/84, 96/42, 84/87, 42/831 is 5152.