Least Common Multiple of 266/382, 436/230, 442/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 266/382, 436/230, 442/667 quickly i.e. 12815348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 266/382, 436/230, 442/667 is 12815348.

LCM(266/382, 436/230, 442/667) = 12815348

LCM of 266/382, 436/230, 442/667

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 266/382,436/230,442/667

Given numbers are 266/382,436/230,442/667

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 266,436,442

Least Common Multiple of Numerators i.e. LCM of 266,436,442 is 12815348.

GCF of Denominators means GCF of 382,230,667 as per the given fractions.

GCF of 382,230,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 266,436,442

LCM of Fractions 266/382,436/230,442/667 is 12815348

2 266, 436, 442
133, 218, 221

∴ So the LCM of the given numbers is 2 x 133 x 218 x 221 = 12815348

Least Common Multiple of 266,436,442 with GCF Formula

Least Common Multiple of 266,436,442 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 266,436,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,436,442) = 2

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

GCF(266,436,442) x common factors =2 x 2 = 4

LCM(266,436,442) = ( 266 × 436 × 442 ) / 4

LCM(266,436,442) = 51261392 / 4

LCM(266,436,442) = 12815348


Lets's calculate GCF of 382,230,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12815348/1

Therefore the LCM of Fractions 266/382,436/230,442/667 is 12815348

Greatest Common Factor of 382,230,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,230,667 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

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 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 382,230,667 . The biggest common factor number is the GCF number.
So the greatest common factor 382,230,667 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 266/382, 436/230, 442/667

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 266/382, 436/230, 442/667?

Answer: LCM of Numerators as per given numbers 266/382, 436/230, 442/667 is

LCM of Numerators i.e. for 266,436,442 is 12815348

GCF of denominators i.e. for 382,230,667 is 1.

Thus, LCM of Fractions is 12815348.Finally, LCM of Fractions for 266/382, 436/230, 442/667 is 12815348.