Least Common Multiple of 1578/603, 8096/8028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1578/603, 8096/8028 quickly i.e. 6387744/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1578/603, 8096/8028 is 6387744/9.

LCM(1578/603, 8096/8028) = 6387744/9

LCM of 1578/603, 8096/8028

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 1578/603,8096/8028

Given numbers are 1578/603,8096/8028

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 1578,8096

Least Common Multiple of Numerators i.e. LCM of 1578,8096 is 6387744.

GCF of Denominators means GCF of 603,8028 as per the given fractions.

GCF of 603,8028 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1578,8096

LCM of Fractions 1578/603,8096/8028 is 6387744/9

2 1578, 8096
789, 4048

∴ So the LCM of the given numbers is 2 x 789 x 4048 = 6387744

Least Common Multiple of 1578,8096 with GCF Formula

Least Common Multiple of 1578,8096 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 1578,8096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1578,8096) = 2

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

GCF(1578,8096) x common factors =2 x 1 = 2

LCM(1578,8096) = ( 1578 × 8096 ) / 2

LCM(1578,8096) = 12775488 / 2

LCM(1578,8096) = 6387744


Lets's calculate GCF of 603,8028

3 603, 8028
3 201, 2676
67, 892

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6387744/9

Therefore the LCM of Fractions 1578/603,8096/8028 is 6387744/9

Greatest Common Factor of 603,8028 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,8028 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors 603,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 603,8028 is 9.


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 1578/603, 8096/8028

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 1578/603, 8096/8028?

Answer: LCM of Numerators as per given numbers 1578/603, 8096/8028 is

LCM of Numerators i.e. for 1578,8096 is 6387744

GCF of denominators i.e. for 603,8028 is 9.

Thus, LCM of Fractions is 6387744/9.Finally, LCM of Fractions for 1578/603, 8096/8028 is 6387744/9.