Least Common Multiple of 8544/800, 7072/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8544/800, 7072/612 quickly i.e. 472056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8544/800, 7072/612 is 472056.

LCM(8544/800, 7072/612) = 472056

LCM of 8544/800, 7072/612

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 8544/800,7072/612

Given numbers are 8544/800,7072/612

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 8544,7072

Least Common Multiple of Numerators i.e. LCM of 8544,7072 is 1888224.

GCF of Denominators means GCF of 800,612 as per the given fractions.

GCF of 800,612 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8544,7072

LCM of Fractions 8544/800,7072/612 is 472056

2 8544, 7072
2 4272, 3536
2 2136, 1768
2 1068, 884
2 534, 442
267, 221

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 267 x 221 = 1888224

Least Common Multiple of 8544,7072 with GCF Formula

Least Common Multiple of 8544,7072 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 8544,7072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8544,7072) = 32

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

GCF(8544,7072) x common factors =32 x 1 = 32

LCM(8544,7072) = ( 8544 × 7072 ) / 32

LCM(8544,7072) = 60423168 / 32

LCM(8544,7072) = 1888224


Lets's calculate GCF of 800,612

2 800, 612
2 400, 306
200, 153

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1888224/4

Therefore the LCM of Fractions 8544/800,7072/612 is 472056

Greatest Common Factor of 800,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,612 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 800,612 . The biggest common factor number is the GCF number.
So the greatest common factor 800,612 is 4.


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 8544/800, 7072/612

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 8544/800, 7072/612?

Answer: LCM of Numerators as per given numbers 8544/800, 7072/612 is

LCM of Numerators i.e. for 8544,7072 is 1888224

GCF of denominators i.e. for 800,612 is 4.

Thus, LCM of Fractions is 472056.Finally, LCM of Fractions for 8544/800, 7072/612 is 472056.