Least Common Multiple of 216/42, 321/4780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/42, 321/4780 quickly i.e. 11556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/42, 321/4780 is 11556.

LCM(216/42, 321/4780) = 11556

LCM of 216/42, 321/4780

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 216/42,321/4780

Given numbers are 216/42,321/4780

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 216,321

Least Common Multiple of Numerators i.e. LCM of 216,321 is 23112.

GCF of Denominators means GCF of 42,4780 as per the given fractions.

GCF of 42,4780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,321

LCM of Fractions 216/42,321/4780 is 11556

3 216, 321
72, 107

∴ So the LCM of the given numbers is 3 x 72 x 107 = 23112

Least Common Multiple of 216,321 with GCF Formula

Least Common Multiple of 216,321 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 216,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,321) = 3

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

GCF(216,321) x common factors =3 x 1 = 3

LCM(216,321) = ( 216 × 321 ) / 3

LCM(216,321) = 69336 / 3

LCM(216,321) = 23112


Lets's calculate GCF of 42,4780

2 42, 4780
21, 2390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23112/2

Therefore the LCM of Fractions 216/42,321/4780 is 11556

Greatest Common Factor of 42,4780 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4780 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1,2,4,5,10,20,239,478,956,1195,2390,4780

Greatest Common Factor

We found the factors 42,4780 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4780 is 2.


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 216/42, 321/4780

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 216/42, 321/4780?

Answer: LCM of Numerators as per given numbers 216/42, 321/4780 is

LCM of Numerators i.e. for 216,321 is 23112

GCF of denominators i.e. for 42,4780 is 2.

Thus, LCM of Fractions is 11556.Finally, LCM of Fractions for 216/42, 321/4780 is 11556.