Least Common Multiple of 11/53, 244/65, 171/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/53, 244/65, 171/909 quickly i.e. 458964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/53, 244/65, 171/909 is 458964.

LCM(11/53, 244/65, 171/909) = 458964

LCM of 11/53, 244/65, 171/909

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 11/53,244/65,171/909

Given numbers are 11/53,244/65,171/909

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 11,244,171

Least Common Multiple of Numerators i.e. LCM of 11,244,171 is 458964.

GCF of Denominators means GCF of 53,65,909 as per the given fractions.

GCF of 53,65,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,244,171

LCM of Fractions 11/53,244/65,171/909 is 458964

Given numbers has no common factors except 1. So, there LCM is their product i.e 458964

Least Common Multiple of 11,244,171 with GCF Formula

Least Common Multiple of 11,244,171 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 11,244,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,244,171) = 1

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

GCF(11,244,171) x common factors =1 x 1 = 1

LCM(11,244,171) = ( 11 × 244 × 171 ) / 1

LCM(11,244,171) = 458964 / 1

LCM(11,244,171) = 458964


Lets's calculate GCF of 53,65,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458964/1

Therefore the LCM of Fractions 11/53,244/65,171/909 is 458964

Greatest Common Factor of 53,65,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,65,909 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 53,65,909 . The biggest common factor number is the GCF number.
So the greatest common factor 53,65,909 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/53, 244/65, 171/909

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 11/53, 244/65, 171/909?

Answer: LCM of Numerators as per given numbers 11/53, 244/65, 171/909 is

LCM of Numerators i.e. for 11,244,171 is 458964

GCF of denominators i.e. for 53,65,909 is 1.

Thus, LCM of Fractions is 458964.Finally, LCM of Fractions for 11/53, 244/65, 171/909 is 458964.