Least Common Multiple of 339/40, 492/27, 211/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/40, 492/27, 211/760 quickly i.e. 11730756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/40, 492/27, 211/760 is 11730756.

LCM(339/40, 492/27, 211/760) = 11730756

LCM of 339/40, 492/27, 211/760

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 339/40,492/27,211/760

Given numbers are 339/40,492/27,211/760

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 339,492,211

Least Common Multiple of Numerators i.e. LCM of 339,492,211 is 11730756.

GCF of Denominators means GCF of 40,27,760 as per the given fractions.

GCF of 40,27,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,492,211

LCM of Fractions 339/40,492/27,211/760 is 11730756

3 339, 492, 211
113, 164, 211

∴ So the LCM of the given numbers is 3 x 113 x 164 x 211 = 11730756

Least Common Multiple of 339,492,211 with GCF Formula

Least Common Multiple of 339,492,211 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 339,492,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,492,211) = 1

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

GCF(339,492,211) x common factors =1 x 3 = 3

LCM(339,492,211) = ( 339 × 492 × 211 ) / 3

LCM(339,492,211) = 35192268 / 3

LCM(339,492,211) = 11730756


Lets's calculate GCF of 40,27,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11730756/1

Therefore the LCM of Fractions 339/40,492/27,211/760 is 11730756

Greatest Common Factor of 40,27,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,27,760 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 40,27,760 . The biggest common factor number is the GCF number.
So the greatest common factor 40,27,760 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 339/40, 492/27, 211/760

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 339/40, 492/27, 211/760?

Answer: LCM of Numerators as per given numbers 339/40, 492/27, 211/760 is

LCM of Numerators i.e. for 339,492,211 is 11730756

GCF of denominators i.e. for 40,27,760 is 1.

Thus, LCM of Fractions is 11730756.Finally, LCM of Fractions for 339/40, 492/27, 211/760 is 11730756.