Least Common Multiple of 8289/288, 1568/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8289/288, 1568/536 quickly i.e. 1624644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8289/288, 1568/536 is 1624644.

LCM(8289/288, 1568/536) = 1624644

LCM of 8289/288, 1568/536

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 8289/288,1568/536

Given numbers are 8289/288,1568/536

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 8289,1568

Least Common Multiple of Numerators i.e. LCM of 8289,1568 is 12997152.

GCF of Denominators means GCF of 288,536 as per the given fractions.

GCF of 288,536 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8289,1568

LCM of Fractions 8289/288,1568/536 is 1624644

Given numbers has no common factors except 1. So, there LCM is their product i.e 12997152

Least Common Multiple of 8289,1568 with GCF Formula

Least Common Multiple of 8289,1568 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 8289,1568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8289,1568) = 1

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

GCF(8289,1568) x common factors =1 x 1 = 1

LCM(8289,1568) = ( 8289 × 1568 ) / 1

LCM(8289,1568) = 12997152 / 1

LCM(8289,1568) = 12997152


Lets's calculate GCF of 288,536

2 288, 536
2 144, 268
2 72, 134
36, 67

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12997152/8

Therefore the LCM of Fractions 8289/288,1568/536 is 1624644

Greatest Common Factor of 288,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,536 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 288,536 . The biggest common factor number is the GCF number.
So the greatest common factor 288,536 is 8.


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 8289/288, 1568/536

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 8289/288, 1568/536?

Answer: LCM of Numerators as per given numbers 8289/288, 1568/536 is

LCM of Numerators i.e. for 8289,1568 is 12997152

GCF of denominators i.e. for 288,536 is 8.

Thus, LCM of Fractions is 1624644.Finally, LCM of Fractions for 8289/288, 1568/536 is 1624644.