Least Common Multiple of 7386/864, 1474/3583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7386/864, 1474/3583 quickly i.e. 5443482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7386/864, 1474/3583 is 5443482.

LCM(7386/864, 1474/3583) = 5443482

LCM of 7386/864, 1474/3583

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 7386/864,1474/3583

Given numbers are 7386/864,1474/3583

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 7386,1474

Least Common Multiple of Numerators i.e. LCM of 7386,1474 is 5443482.

GCF of Denominators means GCF of 864,3583 as per the given fractions.

GCF of 864,3583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7386,1474

LCM of Fractions 7386/864,1474/3583 is 5443482

2 7386, 1474
3693, 737

∴ So the LCM of the given numbers is 2 x 3693 x 737 = 5443482

Least Common Multiple of 7386,1474 with GCF Formula

Least Common Multiple of 7386,1474 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 7386,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7386,1474) = 2

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

GCF(7386,1474) x common factors =2 x 1 = 2

LCM(7386,1474) = ( 7386 × 1474 ) / 2

LCM(7386,1474) = 10886964 / 2

LCM(7386,1474) = 5443482


Lets's calculate GCF of 864,3583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5443482/1

Therefore the LCM of Fractions 7386/864,1474/3583 is 5443482

Greatest Common Factor of 864,3583 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,3583 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 3583

List of positive integer factors of 3583 that divides 3583 without a remainder.

1,3583

Greatest Common Factor

We found the factors 864,3583 . The biggest common factor number is the GCF number.
So the greatest common factor 864,3583 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 7386/864, 1474/3583

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 7386/864, 1474/3583?

Answer: LCM of Numerators as per given numbers 7386/864, 1474/3583 is

LCM of Numerators i.e. for 7386,1474 is 5443482

GCF of denominators i.e. for 864,3583 is 1.

Thus, LCM of Fractions is 5443482.Finally, LCM of Fractions for 7386/864, 1474/3583 is 5443482.