Least Common Multiple of 11/509, 920/339, 106/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/509, 920/339, 106/666 quickly i.e. 536360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/509, 920/339, 106/666 is 536360.

LCM(11/509, 920/339, 106/666) = 536360

LCM of 11/509, 920/339, 106/666

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 11/509,920/339,106/666

Given numbers are 11/509,920/339,106/666

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 11,920,106

Least Common Multiple of Numerators i.e. LCM of 11,920,106 is 536360.

GCF of Denominators means GCF of 509,339,666 as per the given fractions.

GCF of 509,339,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,920,106

LCM of Fractions 11/509,920/339,106/666 is 536360

2 11, 920, 106
11, 460, 53

∴ So the LCM of the given numbers is 2 x 11 x 460 x 53 = 536360

Least Common Multiple of 11,920,106 with GCF Formula

Least Common Multiple of 11,920,106 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 11,920,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,920,106) = 1

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

GCF(11,920,106) x common factors =1 x 2 = 2

LCM(11,920,106) = ( 11 × 920 × 106 ) / 2

LCM(11,920,106) = 1072720 / 2

LCM(11,920,106) = 536360


Lets's calculate GCF of 509,339,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 536360/1

Therefore the LCM of Fractions 11/509,920/339,106/666 is 536360

Greatest Common Factor of 509,339,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,339,666 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 509,339,666 . The biggest common factor number is the GCF number.
So the greatest common factor 509,339,666 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 11/509, 920/339, 106/666

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 11/509, 920/339, 106/666?

Answer: LCM of Numerators as per given numbers 11/509, 920/339, 106/666 is

LCM of Numerators i.e. for 11,920,106 is 536360

GCF of denominators i.e. for 509,339,666 is 1.

Thus, LCM of Fractions is 536360.Finally, LCM of Fractions for 11/509, 920/339, 106/666 is 536360.