Least Common Multiple of 801/487, 915/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 801/487, 915/116 quickly i.e. 244305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/487, 915/116 is 244305.

LCM(801/487, 915/116) = 244305

LCM of 801/487, 915/116

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 801/487,915/116

Given numbers are 801/487,915/116

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 801,915

Least Common Multiple of Numerators i.e. LCM of 801,915 is 244305.

GCF of Denominators means GCF of 487,116 as per the given fractions.

GCF of 487,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,915

LCM of Fractions 801/487,915/116 is 244305

3 801, 915
267, 305

∴ So the LCM of the given numbers is 3 x 267 x 305 = 244305

Least Common Multiple of 801,915 with GCF Formula

Least Common Multiple of 801,915 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 801,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,915) = 3

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

GCF(801,915) x common factors =3 x 1 = 3

LCM(801,915) = ( 801 × 915 ) / 3

LCM(801,915) = 732915 / 3

LCM(801,915) = 244305


Lets's calculate GCF of 487,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244305/1

Therefore the LCM of Fractions 801/487,915/116 is 244305

Greatest Common Factor of 487,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,116 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 487,116 . The biggest common factor number is the GCF number.
So the greatest common factor 487,116 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 801/487, 915/116

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 801/487, 915/116?

Answer: LCM of Numerators as per given numbers 801/487, 915/116 is

LCM of Numerators i.e. for 801,915 is 244305

GCF of denominators i.e. for 487,116 is 1.

Thus, LCM of Fractions is 244305.Finally, LCM of Fractions for 801/487, 915/116 is 244305.