Least Common Multiple of 28/93, 814/24, 768/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/93, 814/24, 768/109 quickly i.e. 2188032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/93, 814/24, 768/109 is 2188032.

LCM(28/93, 814/24, 768/109) = 2188032

LCM of 28/93, 814/24, 768/109

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 28/93,814/24,768/109

Given numbers are 28/93,814/24,768/109

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 28,814,768

Least Common Multiple of Numerators i.e. LCM of 28,814,768 is 2188032.

GCF of Denominators means GCF of 93,24,109 as per the given fractions.

GCF of 93,24,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,814,768

LCM of Fractions 28/93,814/24,768/109 is 2188032

2 28, 814, 768
2 14, 407, 384
7, 407, 192

∴ So the LCM of the given numbers is 2 x 2 x 7 x 407 x 192 = 2188032

Least Common Multiple of 28,814,768 with GCF Formula

Least Common Multiple of 28,814,768 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 28,814,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,814,768) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(28,814,768) x common factors =2 x 4 = 8

LCM(28,814,768) = ( 28 × 814 × 768 ) / 8

LCM(28,814,768) = 17504256 / 8

LCM(28,814,768) = 2188032


Lets's calculate GCF of 93,24,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2188032/1

Therefore the LCM of Fractions 28/93,814/24,768/109 is 2188032

Greatest Common Factor of 93,24,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,24,109 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

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 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 93,24,109 . The biggest common factor number is the GCF number.
So the greatest common factor 93,24,109 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 28/93, 814/24, 768/109

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 28/93, 814/24, 768/109?

Answer: LCM of Numerators as per given numbers 28/93, 814/24, 768/109 is

LCM of Numerators i.e. for 28,814,768 is 2188032

GCF of denominators i.e. for 93,24,109 is 1.

Thus, LCM of Fractions is 2188032.Finally, LCM of Fractions for 28/93, 814/24, 768/109 is 2188032.