Least Common Multiple of 11/471, 53/338, 264/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/471, 53/338, 264/965 quickly i.e. 13992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/471, 53/338, 264/965 is 13992.

LCM(11/471, 53/338, 264/965) = 13992

LCM of 11/471, 53/338, 264/965

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 11/471,53/338,264/965

Given numbers are 11/471,53/338,264/965

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 11,53,264

Least Common Multiple of Numerators i.e. LCM of 11,53,264 is 13992.

GCF of Denominators means GCF of 471,338,965 as per the given fractions.

GCF of 471,338,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,53,264

LCM of Fractions 11/471,53/338,264/965 is 13992

11 11, 53, 264
1, 53, 24

∴ So the LCM of the given numbers is 11 x 1 x 53 x 24 = 13992

Least Common Multiple of 11,53,264 with GCF Formula

Least Common Multiple of 11,53,264 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 11,53,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,53,264) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,53,264) x common factors =1 x 11 = 11

LCM(11,53,264) = ( 11 × 53 × 264 ) / 11

LCM(11,53,264) = 153912 / 11

LCM(11,53,264) = 13992


Lets's calculate GCF of 471,338,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13992/1

Therefore the LCM of Fractions 11/471,53/338,264/965 is 13992

Greatest Common Factor of 471,338,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,338,965 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 471,338,965 . The biggest common factor number is the GCF number.
So the greatest common factor 471,338,965 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 11/471, 53/338, 264/965

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 11/471, 53/338, 264/965?

Answer: LCM of Numerators as per given numbers 11/471, 53/338, 264/965 is

LCM of Numerators i.e. for 11,53,264 is 13992

GCF of denominators i.e. for 471,338,965 is 1.

Thus, LCM of Fractions is 13992.Finally, LCM of Fractions for 11/471, 53/338, 264/965 is 13992.