Least Common Multiple of 219/87, 4302/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/87, 4302/360 quickly i.e. 104682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/87, 4302/360 is 104682.

LCM(219/87, 4302/360) = 104682

LCM of 219/87, 4302/360

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 219/87,4302/360

Given numbers are 219/87,4302/360

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 219,4302

Least Common Multiple of Numerators i.e. LCM of 219,4302 is 314046.

GCF of Denominators means GCF of 87,360 as per the given fractions.

GCF of 87,360 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,4302

LCM of Fractions 219/87,4302/360 is 104682

3 219, 4302
73, 1434

∴ So the LCM of the given numbers is 3 x 73 x 1434 = 314046

Least Common Multiple of 219,4302 with GCF Formula

Least Common Multiple of 219,4302 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 219,4302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,4302) = 3

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

GCF(219,4302) x common factors =3 x 1 = 3

LCM(219,4302) = ( 219 × 4302 ) / 3

LCM(219,4302) = 942138 / 3

LCM(219,4302) = 314046


Lets's calculate GCF of 87,360

3 87, 360
29, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314046/3

Therefore the LCM of Fractions 219/87,4302/360 is 104682

Greatest Common Factor of 87,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,360 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 87,360 . The biggest common factor number is the GCF number.
So the greatest common factor 87,360 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 219/87, 4302/360

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 219/87, 4302/360?

Answer: LCM of Numerators as per given numbers 219/87, 4302/360 is

LCM of Numerators i.e. for 219,4302 is 314046

GCF of denominators i.e. for 87,360 is 3.

Thus, LCM of Fractions is 104682.Finally, LCM of Fractions for 219/87, 4302/360 is 104682.