Least Common Multiple of 53/60, 16/36, 66/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/60, 16/36, 66/338 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 53/60, 16/36, 66/338 is 13992.

LCM(53/60, 16/36, 66/338) = 13992

LCM of 53/60, 16/36, 66/338

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 53/60,16/36,66/338

Given numbers are 53/60,16/36,66/338

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 53,16,66

Least Common Multiple of Numerators i.e. LCM of 53,16,66 is 27984.

GCF of Denominators means GCF of 60,36,338 as per the given fractions.

GCF of 60,36,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,16,66

LCM of Fractions 53/60,16/36,66/338 is 13992

2 53, 16, 66
53, 8, 33

∴ So the LCM of the given numbers is 2 x 53 x 8 x 33 = 27984

Least Common Multiple of 53,16,66 with GCF Formula

Least Common Multiple of 53,16,66 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 53,16,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,16,66) = 1

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

GCF(53,16,66) x common factors =1 x 2 = 2

LCM(53,16,66) = ( 53 × 16 × 66 ) / 2

LCM(53,16,66) = 55968 / 2

LCM(53,16,66) = 27984


Lets's calculate GCF of 60,36,338

2 60, 36, 338
30, 18, 169

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27984/2

Therefore the LCM of Fractions 53/60,16/36,66/338 is 13992

Greatest Common Factor of 60,36,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,36,338 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

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 338

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

1,2,13,26,169,338

Greatest Common Factor

We found the factors 60,36,338 . The biggest common factor number is the GCF number.
So the greatest common factor 60,36,338 is 2.


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 53/60, 16/36, 66/338

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 53/60, 16/36, 66/338?

Answer: LCM of Numerators as per given numbers 53/60, 16/36, 66/338 is

LCM of Numerators i.e. for 53,16,66 is 27984

GCF of denominators i.e. for 60,36,338 is 2.

Thus, LCM of Fractions is 13992.Finally, LCM of Fractions for 53/60, 16/36, 66/338 is 13992.