Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Least Common Multiple of 16/18, 28/72, 32/216

Know Least Common Multiple of fractions 16/18, 28/72, 32/216 quickly i.e. 224/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/18, 28/72, 32/216 is 224/18.

LCM(16/18, 28/72, 32/216) = 224/18

LCM of 16/18, 28/72, 32/216

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 16/18,28/72,32/216

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 16,28,32

Least Common Multiple of Numerators i.e. LCM of 16,28,32 is 224.

GCF of Denominators means GCF of 18,72,216 as per the given fractions.

GCF of 18,72,216 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,28,32

Least Common Multiple (LCM) of 16,28,32 By Common Division

2 16, 28, 32
2 8, 14, 16
2 4, 7, 8
2 2, 7, 4
1, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 7 x 2 = 224

Least Common Multiple of 16,28,32 with GCF Formula

Least Common Multiple of 16,28,32 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 16,28,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,28,32) = 4

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

GCF(16,28,32) x common factors =4 x 16 = 64

LCM(16,28,32) = ( 16 × 28 × 32 ) / 64

LCM(16,28,32) = 14336 / 64

LCM(16,28,32) = 224


Lets's calculate GCF of 18,72,216

Greatest Common Factor (GCF) of 18,72,216 By Common Division

2 18, 72, 216
3 9, 36, 108
3 3, 12, 36
1, 4, 12

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224/18

Therefore the LCM of Fractions 16/18,28/72,32/216 is 224/18

Greatest Common Factor of 18,72,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,72,216 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 18,72,216 . The biggest common factor number is the GCF number.
So the greatest common factor 18,72,216 is 18.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/18, 28/72, 32/216

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 16/18, 28/72, 32/216?

Answer: LCM of Numerators as per given numbers 16/18, 28/72, 32/216 is

LCM of Numerators i.e. for 16,28,32 is 224

GCF of denominators i.e. for 18,72,216 is 18.

Thus, LCM of Fractions is 224/18.Finally, LCM of Fractions for 16/18, 28/72, 32/216 is 224/18.