Least Common Multiple of 8974/318, 5904/3687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8974/318, 5904/3687 quickly i.e. 8830416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8974/318, 5904/3687 is 8830416.

LCM(8974/318, 5904/3687) = 8830416

LCM of 8974/318, 5904/3687

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 8974/318,5904/3687

Given numbers are 8974/318,5904/3687

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 8974,5904

Least Common Multiple of Numerators i.e. LCM of 8974,5904 is 26491248.

GCF of Denominators means GCF of 318,3687 as per the given fractions.

GCF of 318,3687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8974,5904

LCM of Fractions 8974/318,5904/3687 is 8830416

2 8974, 5904
4487, 2952

∴ So the LCM of the given numbers is 2 x 4487 x 2952 = 26491248

Least Common Multiple of 8974,5904 with GCF Formula

Least Common Multiple of 8974,5904 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 8974,5904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8974,5904) = 2

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

GCF(8974,5904) x common factors =2 x 1 = 2

LCM(8974,5904) = ( 8974 × 5904 ) / 2

LCM(8974,5904) = 52982496 / 2

LCM(8974,5904) = 26491248


Lets's calculate GCF of 318,3687

3 318, 3687
106, 1229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26491248/3

Therefore the LCM of Fractions 8974/318,5904/3687 is 8830416

Greatest Common Factor of 318,3687 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,3687 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1,3,1229,3687

Greatest Common Factor

We found the factors 318,3687 . The biggest common factor number is the GCF number.
So the greatest common factor 318,3687 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 8974/318, 5904/3687

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 8974/318, 5904/3687?

Answer: LCM of Numerators as per given numbers 8974/318, 5904/3687 is

LCM of Numerators i.e. for 8974,5904 is 26491248

GCF of denominators i.e. for 318,3687 is 3.

Thus, LCM of Fractions is 8830416.Finally, LCM of Fractions for 8974/318, 5904/3687 is 8830416.