Least Common Multiple of 106/675, 298/309, 229/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/675, 298/309, 229/570 quickly i.e. 3616826/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/675, 298/309, 229/570 is 3616826/3.

LCM(106/675, 298/309, 229/570) = 3616826/3

LCM of 106/675, 298/309, 229/570

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 106/675,298/309,229/570

Given numbers are 106/675,298/309,229/570

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 106,298,229

Least Common Multiple of Numerators i.e. LCM of 106,298,229 is 3616826.

GCF of Denominators means GCF of 675,309,570 as per the given fractions.

GCF of 675,309,570 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,298,229

LCM of Fractions 106/675,298/309,229/570 is 3616826/3

2 106, 298, 229
53, 149, 229

∴ So the LCM of the given numbers is 2 x 53 x 149 x 229 = 3616826

Least Common Multiple of 106,298,229 with GCF Formula

Least Common Multiple of 106,298,229 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 106,298,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,298,229) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(106,298,229) x common factors =1 x 2 = 2

LCM(106,298,229) = ( 106 × 298 × 229 ) / 2

LCM(106,298,229) = 7233652 / 2

LCM(106,298,229) = 3616826


Lets's calculate GCF of 675,309,570

3 675, 309, 570
225, 103, 190

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3616826/3

Therefore the LCM of Fractions 106/675,298/309,229/570 is 3616826/3

Greatest Common Factor of 675,309,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,309,570 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 675,309,570 . The biggest common factor number is the GCF number.
So the greatest common factor 675,309,570 is 3.


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 106/675, 298/309, 229/570

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 106/675, 298/309, 229/570?

Answer: LCM of Numerators as per given numbers 106/675, 298/309, 229/570 is

LCM of Numerators i.e. for 106,298,229 is 3616826

GCF of denominators i.e. for 675,309,570 is 3.

Thus, LCM of Fractions is 3616826/3.Finally, LCM of Fractions for 106/675, 298/309, 229/570 is 3616826/3.