Least Common Multiple of 96/63, 89/58, 23/42, 512/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/63, 89/58, 23/42, 512/24 quickly i.e. 3144192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/63, 89/58, 23/42, 512/24 is 3144192.

LCM(96/63, 89/58, 23/42, 512/24) = 3144192

LCM of 96/63, 89/58, 23/42, 512/24

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 96/63,89/58,23/42,512/24

Given numbers are 96/63,89/58,23/42,512/24

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 96,89,23,512

Least Common Multiple of Numerators i.e. LCM of 96,89,23,512 is 3144192.

GCF of Denominators means GCF of 63,58,42,24 as per the given fractions.

GCF of 63,58,42,24 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,89,23,512

LCM of Fractions 96/63,89/58,23/42,512/24 is 3144192

2 96, 89, 23, 512
2 48, 89, 23, 256
2 24, 89, 23, 128
2 12, 89, 23, 64
2 6, 89, 23, 32
3, 89, 23, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 89 x 23 x 16 = 3144192

Least Common Multiple of 96,89,23,512 with GCF Formula

Least Common Multiple of 96,89,23,512 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 96,89,23,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,89,23,512) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(96,89,23,512) x common factors =1 x 32 = 32

LCM(96,89,23,512) = ( 96 × 89 × 23 × 512 ) / 32

LCM(96,89,23,512) = 100614144 / 32

LCM(96,89,23,512) = 3144192


Lets's calculate GCF of 63,58,42,24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3144192/1

Therefore the LCM of Fractions 96/63,89/58,23/42,512/24 is 3144192

Greatest Common Factor of 63,58,42,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,58,42,24 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

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 24

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

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

Greatest Common Factor

We found the factors 63,58,42,24 . The biggest common factor number is the GCF number.
So the greatest common factor 63,58,42,24 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 96/63, 89/58, 23/42, 512/24

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 96/63, 89/58, 23/42, 512/24?

Answer: LCM of Numerators as per given numbers 96/63, 89/58, 23/42, 512/24 is

LCM of Numerators i.e. for 96,89,23,512 is 3144192

GCF of denominators i.e. for 63,58,42,24 is 1.

Thus, LCM of Fractions is 3144192.Finally, LCM of Fractions for 96/63, 89/58, 23/42, 512/24 is 3144192.