Least Common Multiple of 16/72, 511/32, 396/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/72, 511/32, 396/908 quickly i.e. 202356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/72, 511/32, 396/908 is 202356.

LCM(16/72, 511/32, 396/908) = 202356

LCM of 16/72, 511/32, 396/908

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 16/72,511/32,396/908

Given numbers are 16/72,511/32,396/908

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 16,511,396

Least Common Multiple of Numerators i.e. LCM of 16,511,396 is 809424.

GCF of Denominators means GCF of 72,32,908 as per the given fractions.

GCF of 72,32,908 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,511,396

LCM of Fractions 16/72,511/32,396/908 is 202356

2 16, 511, 396
2 8, 511, 198
4, 511, 99

∴ So the LCM of the given numbers is 2 x 2 x 4 x 511 x 99 = 809424

Least Common Multiple of 16,511,396 with GCF Formula

Least Common Multiple of 16,511,396 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 16,511,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,511,396) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,511,396) x common factors =1 x 4 = 4

LCM(16,511,396) = ( 16 × 511 × 396 ) / 4

LCM(16,511,396) = 3237696 / 4

LCM(16,511,396) = 809424


Lets's calculate GCF of 72,32,908

2 72, 32, 908
2 36, 16, 454
18, 8, 227

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 809424/4

Therefore the LCM of Fractions 16/72,511/32,396/908 is 202356

Greatest Common Factor of 72,32,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,32,908 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 72,32,908 . The biggest common factor number is the GCF number.
So the greatest common factor 72,32,908 is 4.


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 16/72, 511/32, 396/908

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 16/72, 511/32, 396/908?

Answer: LCM of Numerators as per given numbers 16/72, 511/32, 396/908 is

LCM of Numerators i.e. for 16,511,396 is 809424

GCF of denominators i.e. for 72,32,908 is 4.

Thus, LCM of Fractions is 202356.Finally, LCM of Fractions for 16/72, 511/32, 396/908 is 202356.