Least Common Multiple of 72/32, 96/98, 623/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/32, 96/98, 623/238 quickly i.e. 89712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/32, 96/98, 623/238 is 89712.

LCM(72/32, 96/98, 623/238) = 89712

LCM of 72/32, 96/98, 623/238

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 72/32,96/98,623/238

Given numbers are 72/32,96/98,623/238

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 72,96,623

Least Common Multiple of Numerators i.e. LCM of 72,96,623 is 179424.

GCF of Denominators means GCF of 32,98,238 as per the given fractions.

GCF of 32,98,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,96,623

LCM of Fractions 72/32,96/98,623/238 is 89712

2 72, 96, 623
2 36, 48, 623
2 18, 24, 623
3 9, 12, 623
3, 4, 623

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 623 = 179424

Least Common Multiple of 72,96,623 with GCF Formula

Least Common Multiple of 72,96,623 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 72,96,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,96,623) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,96,623) x common factors =1 x 24 = 24

LCM(72,96,623) = ( 72 × 96 × 623 ) / 24

LCM(72,96,623) = 4306176 / 24

LCM(72,96,623) = 179424


Lets's calculate GCF of 32,98,238

2 32, 98, 238
16, 49, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179424/2

Therefore the LCM of Fractions 72/32,96/98,623/238 is 89712

Greatest Common Factor of 32,98,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,98,238 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 32,98,238 . The biggest common factor number is the GCF number.
So the greatest common factor 32,98,238 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 72/32, 96/98, 623/238

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 72/32, 96/98, 623/238?

Answer: LCM of Numerators as per given numbers 72/32, 96/98, 623/238 is

LCM of Numerators i.e. for 72,96,623 is 179424

GCF of denominators i.e. for 32,98,238 is 2.

Thus, LCM of Fractions is 89712.Finally, LCM of Fractions for 72/32, 96/98, 623/238 is 89712.