Least Common Multiple of 28/768, 67/190, 321/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/768, 67/190, 321/276 quickly i.e. 301098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/768, 67/190, 321/276 is 301098.

LCM(28/768, 67/190, 321/276) = 301098

LCM of 28/768, 67/190, 321/276

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 28/768,67/190,321/276

Given numbers are 28/768,67/190,321/276

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 28,67,321

Least Common Multiple of Numerators i.e. LCM of 28,67,321 is 602196.

GCF of Denominators means GCF of 768,190,276 as per the given fractions.

GCF of 768,190,276 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,67,321

LCM of Fractions 28/768,67/190,321/276 is 301098

Given numbers has no common factors except 1. So, there LCM is their product i.e 602196

Least Common Multiple of 28,67,321 with GCF Formula

Least Common Multiple of 28,67,321 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 28,67,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,67,321) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(28,67,321) x common factors =1 x 1 = 1

LCM(28,67,321) = ( 28 × 67 × 321 ) / 1

LCM(28,67,321) = 602196 / 1

LCM(28,67,321) = 602196


Lets's calculate GCF of 768,190,276

2 768, 190, 276
384, 95, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602196/2

Therefore the LCM of Fractions 28/768,67/190,321/276 is 301098

Greatest Common Factor of 768,190,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,190,276 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 768,190,276 . The biggest common factor number is the GCF number.
So the greatest common factor 768,190,276 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 28/768, 67/190, 321/276

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 28/768, 67/190, 321/276?

Answer: LCM of Numerators as per given numbers 28/768, 67/190, 321/276 is

LCM of Numerators i.e. for 28,67,321 is 602196

GCF of denominators i.e. for 768,190,276 is 2.

Thus, LCM of Fractions is 301098.Finally, LCM of Fractions for 28/768, 67/190, 321/276 is 301098.