Least Common Multiple of 216/36, 471/1608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/36, 471/1608 quickly i.e. 2826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/36, 471/1608 is 2826.

LCM(216/36, 471/1608) = 2826

LCM of 216/36, 471/1608

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 216/36,471/1608

Given numbers are 216/36,471/1608

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 216,471

Least Common Multiple of Numerators i.e. LCM of 216,471 is 33912.

GCF of Denominators means GCF of 36,1608 as per the given fractions.

GCF of 36,1608 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,471

LCM of Fractions 216/36,471/1608 is 2826

3 216, 471
72, 157

∴ So the LCM of the given numbers is 3 x 72 x 157 = 33912

Least Common Multiple of 216,471 with GCF Formula

Least Common Multiple of 216,471 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 216,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,471) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(216,471) x common factors =3 x 1 = 3

LCM(216,471) = ( 216 × 471 ) / 3

LCM(216,471) = 101736 / 3

LCM(216,471) = 33912


Lets's calculate GCF of 36,1608

2 36, 1608
2 18, 804
3 9, 402
3, 134

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33912/12

Therefore the LCM of Fractions 216/36,471/1608 is 2826

Greatest Common Factor of 36,1608 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1608 By Matching Biggest Common Factor Method

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 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

Greatest Common Factor

We found the factors 36,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1608 is 12.


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 216/36, 471/1608

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 216/36, 471/1608?

Answer: LCM of Numerators as per given numbers 216/36, 471/1608 is

LCM of Numerators i.e. for 216,471 is 33912

GCF of denominators i.e. for 36,1608 is 12.

Thus, LCM of Fractions is 2826.Finally, LCM of Fractions for 216/36, 471/1608 is 2826.