Least Common Multiple of 216/10, 546/19, 546/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/10, 546/19, 546/31 quickly i.e. 19656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/10, 546/19, 546/31 is 19656.

LCM(216/10, 546/19, 546/31) = 19656

LCM of 216/10, 546/19, 546/31

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 216/10,546/19,546/31

Given numbers are 216/10,546/19,546/31

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 216,546,546

Least Common Multiple of Numerators i.e. LCM of 216,546,546 is 19656.

GCF of Denominators means GCF of 10,19,31 as per the given fractions.

GCF of 10,19,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,546,546

LCM of Fractions 216/10,546/19,546/31 is 19656

2 216, 546, 546
3 108, 273, 273
7 36, 91, 91
13 36, 13, 13
36, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 36 x 1 x 1 = 19656

Least Common Multiple of 216,546,546 with GCF Formula

Least Common Multiple of 216,546,546 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 216,546,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,546,546) = 6

common factors(in case of two or more numbers have common factors) = 546

GCF(216,546,546) x common factors =6 x 546 = 3276

LCM(216,546,546) = ( 216 × 546 × 546 ) / 3276

LCM(216,546,546) = 64393056 / 3276

LCM(216,546,546) = 19656


Lets's calculate GCF of 10,19,31

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19656/1

Therefore the LCM of Fractions 216/10,546/19,546/31 is 19656

Greatest Common Factor of 10,19,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,19,31 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 10,19,31 . The biggest common factor number is the GCF number.
So the greatest common factor 10,19,31 is 1.


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 216/10, 546/19, 546/31

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 216/10, 546/19, 546/31?

Answer: LCM of Numerators as per given numbers 216/10, 546/19, 546/31 is

LCM of Numerators i.e. for 216,546,546 is 19656

GCF of denominators i.e. for 10,19,31 is 1.

Thus, LCM of Fractions is 19656.Finally, LCM of Fractions for 216/10, 546/19, 546/31 is 19656.