Least Common Multiple of 72/87, 360/69, 538/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/87, 360/69, 538/516 quickly i.e. 32280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/87, 360/69, 538/516 is 32280.

LCM(72/87, 360/69, 538/516) = 32280

LCM of 72/87, 360/69, 538/516

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 72/87,360/69,538/516

Given numbers are 72/87,360/69,538/516

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 72,360,538

Least Common Multiple of Numerators i.e. LCM of 72,360,538 is 96840.

GCF of Denominators means GCF of 87,69,516 as per the given fractions.

GCF of 87,69,516 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,360,538

LCM of Fractions 72/87,360/69,538/516 is 32280

2 72, 360, 538
2 36, 180, 269
2 18, 90, 269
3 9, 45, 269
3 3, 15, 269
1, 5, 269

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 5 x 269 = 96840

Least Common Multiple of 72,360,538 with GCF Formula

Least Common Multiple of 72,360,538 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 72,360,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,360,538) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(72,360,538) x common factors =2 x 72 = 144

LCM(72,360,538) = ( 72 × 360 × 538 ) / 144

LCM(72,360,538) = 13944960 / 144

LCM(72,360,538) = 96840


Lets's calculate GCF of 87,69,516

3 87, 69, 516
29, 23, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96840/3

Therefore the LCM of Fractions 72/87,360/69,538/516 is 32280

Greatest Common Factor of 87,69,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,69,516 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 87,69,516 . The biggest common factor number is the GCF number.
So the greatest common factor 87,69,516 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 72/87, 360/69, 538/516

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 72/87, 360/69, 538/516?

Answer: LCM of Numerators as per given numbers 72/87, 360/69, 538/516 is

LCM of Numerators i.e. for 72,360,538 is 96840

GCF of denominators i.e. for 87,69,516 is 3.

Thus, LCM of Fractions is 32280.Finally, LCM of Fractions for 72/87, 360/69, 538/516 is 32280.