Least Common Multiple of 21/150, 16/207, 512/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/150, 16/207, 512/984 quickly i.e. 3584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/150, 16/207, 512/984 is 3584.

LCM(21/150, 16/207, 512/984) = 3584

LCM of 21/150, 16/207, 512/984

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 21/150,16/207,512/984

Given numbers are 21/150,16/207,512/984

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 21,16,512

Least Common Multiple of Numerators i.e. LCM of 21,16,512 is 10752.

GCF of Denominators means GCF of 150,207,984 as per the given fractions.

GCF of 150,207,984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,16,512

LCM of Fractions 21/150,16/207,512/984 is 3584

2 21, 16, 512
2 21, 8, 256
2 21, 4, 128
2 21, 2, 64
21, 1, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 21 x 1 x 32 = 10752

Least Common Multiple of 21,16,512 with GCF Formula

Least Common Multiple of 21,16,512 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 21,16,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,16,512) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(21,16,512) x common factors =1 x 16 = 16

LCM(21,16,512) = ( 21 × 16 × 512 ) / 16

LCM(21,16,512) = 172032 / 16

LCM(21,16,512) = 10752


Lets's calculate GCF of 150,207,984

3 150, 207, 984
50, 69, 328

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10752/3

Therefore the LCM of Fractions 21/150,16/207,512/984 is 3584

Greatest Common Factor of 150,207,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,207,984 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 150,207,984 . The biggest common factor number is the GCF number.
So the greatest common factor 150,207,984 is 3.


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 21/150, 16/207, 512/984

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 21/150, 16/207, 512/984?

Answer: LCM of Numerators as per given numbers 21/150, 16/207, 512/984 is

LCM of Numerators i.e. for 21,16,512 is 10752

GCF of denominators i.e. for 150,207,984 is 3.

Thus, LCM of Fractions is 3584.Finally, LCM of Fractions for 21/150, 16/207, 512/984 is 3584.