Least Common Multiple of 611/36, 491/27, 109/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 611/36, 491/27, 109/383 quickly i.e. 32700109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 611/36, 491/27, 109/383 is 32700109.

LCM(611/36, 491/27, 109/383) = 32700109

LCM of 611/36, 491/27, 109/383

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 611/36,491/27,109/383

Given numbers are 611/36,491/27,109/383

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 611,491,109

Least Common Multiple of Numerators i.e. LCM of 611,491,109 is 32700109.

GCF of Denominators means GCF of 36,27,383 as per the given fractions.

GCF of 36,27,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 611,491,109

LCM of Fractions 611/36,491/27,109/383 is 32700109

Given numbers has no common factors except 1. So, there LCM is their product i.e 32700109

Least Common Multiple of 611,491,109 with GCF Formula

Least Common Multiple of 611,491,109 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 611,491,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,491,109) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(611,491,109) x common factors =1 x 1 = 1

LCM(611,491,109) = ( 611 × 491 × 109 ) / 1

LCM(611,491,109) = 32700109 / 1

LCM(611,491,109) = 32700109


Lets's calculate GCF of 36,27,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32700109/1

Therefore the LCM of Fractions 611/36,491/27,109/383 is 32700109

Greatest Common Factor of 36,27,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,27,383 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 27

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

1,3,9,27

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 36,27,383 . The biggest common factor number is the GCF number.
So the greatest common factor 36,27,383 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 611/36, 491/27, 109/383

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 611/36, 491/27, 109/383?

Answer: LCM of Numerators as per given numbers 611/36, 491/27, 109/383 is

LCM of Numerators i.e. for 611,491,109 is 32700109

GCF of denominators i.e. for 36,27,383 is 1.

Thus, LCM of Fractions is 32700109.Finally, LCM of Fractions for 611/36, 491/27, 109/383 is 32700109.