Least Common Multiple of 99/230, 83/151, 267/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/230, 83/151, 267/667 quickly i.e. 731313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/230, 83/151, 267/667 is 731313.

LCM(99/230, 83/151, 267/667) = 731313

LCM of 99/230, 83/151, 267/667

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 99/230,83/151,267/667

Given numbers are 99/230,83/151,267/667

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 99,83,267

Least Common Multiple of Numerators i.e. LCM of 99,83,267 is 731313.

GCF of Denominators means GCF of 230,151,667 as per the given fractions.

GCF of 230,151,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,83,267

LCM of Fractions 99/230,83/151,267/667 is 731313

3 99, 83, 267
33, 83, 89

∴ So the LCM of the given numbers is 3 x 33 x 83 x 89 = 731313

Least Common Multiple of 99,83,267 with GCF Formula

Least Common Multiple of 99,83,267 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 99,83,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,83,267) = 1

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

GCF(99,83,267) x common factors =1 x 3 = 3

LCM(99,83,267) = ( 99 × 83 × 267 ) / 3

LCM(99,83,267) = 2193939 / 3

LCM(99,83,267) = 731313


Lets's calculate GCF of 230,151,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 731313/1

Therefore the LCM of Fractions 99/230,83/151,267/667 is 731313

Greatest Common Factor of 230,151,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,151,667 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 230,151,667 . The biggest common factor number is the GCF number.
So the greatest common factor 230,151,667 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 99/230, 83/151, 267/667

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 99/230, 83/151, 267/667?

Answer: LCM of Numerators as per given numbers 99/230, 83/151, 267/667 is

LCM of Numerators i.e. for 99,83,267 is 731313

GCF of denominators i.e. for 230,151,667 is 1.

Thus, LCM of Fractions is 731313.Finally, LCM of Fractions for 99/230, 83/151, 267/667 is 731313.