Least Common Multiple of 87/538, 1716/4305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/538, 1716/4305 quickly i.e. 49764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/538, 1716/4305 is 49764.

LCM(87/538, 1716/4305) = 49764

LCM of 87/538, 1716/4305

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 87/538,1716/4305

Given numbers are 87/538,1716/4305

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 87,1716

Least Common Multiple of Numerators i.e. LCM of 87,1716 is 49764.

GCF of Denominators means GCF of 538,4305 as per the given fractions.

GCF of 538,4305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,1716

LCM of Fractions 87/538,1716/4305 is 49764

3 87, 1716
29, 572

∴ So the LCM of the given numbers is 3 x 29 x 572 = 49764

Least Common Multiple of 87,1716 with GCF Formula

Least Common Multiple of 87,1716 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 87,1716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,1716) = 3

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

GCF(87,1716) x common factors =3 x 1 = 3

LCM(87,1716) = ( 87 × 1716 ) / 3

LCM(87,1716) = 149292 / 3

LCM(87,1716) = 49764


Lets's calculate GCF of 538,4305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49764/1

Therefore the LCM of Fractions 87/538,1716/4305 is 49764

Greatest Common Factor of 538,4305 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,4305 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Greatest Common Factor

We found the factors 538,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 538,4305 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 87/538, 1716/4305

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 87/538, 1716/4305?

Answer: LCM of Numerators as per given numbers 87/538, 1716/4305 is

LCM of Numerators i.e. for 87,1716 is 49764

GCF of denominators i.e. for 538,4305 is 1.

Thus, LCM of Fractions is 49764.Finally, LCM of Fractions for 87/538, 1716/4305 is 49764.