Least Common Multiple of 75/28, 12/68, 723/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/28, 12/68, 723/848 quickly i.e. 18075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/28, 12/68, 723/848 is 18075.

LCM(75/28, 12/68, 723/848) = 18075

LCM of 75/28, 12/68, 723/848

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 75/28,12/68,723/848

Given numbers are 75/28,12/68,723/848

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 75,12,723

Least Common Multiple of Numerators i.e. LCM of 75,12,723 is 72300.

GCF of Denominators means GCF of 28,68,848 as per the given fractions.

GCF of 28,68,848 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,12,723

LCM of Fractions 75/28,12/68,723/848 is 18075

3 75, 12, 723
25, 4, 241

∴ So the LCM of the given numbers is 3 x 25 x 4 x 241 = 72300

Least Common Multiple of 75,12,723 with GCF Formula

Least Common Multiple of 75,12,723 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 75,12,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,12,723) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(75,12,723) x common factors =3 x 3 = 9

LCM(75,12,723) = ( 75 × 12 × 723 ) / 9

LCM(75,12,723) = 650700 / 9

LCM(75,12,723) = 72300


Lets's calculate GCF of 28,68,848

2 28, 68, 848
2 14, 34, 424
7, 17, 212

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72300/4

Therefore the LCM of Fractions 75/28,12/68,723/848 is 18075

Greatest Common Factor of 28,68,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,68,848 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 28,68,848 . The biggest common factor number is the GCF number.
So the greatest common factor 28,68,848 is 4.


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 75/28, 12/68, 723/848

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 75/28, 12/68, 723/848?

Answer: LCM of Numerators as per given numbers 75/28, 12/68, 723/848 is

LCM of Numerators i.e. for 75,12,723 is 72300

GCF of denominators i.e. for 28,68,848 is 4.

Thus, LCM of Fractions is 18075.Finally, LCM of Fractions for 75/28, 12/68, 723/848 is 18075.