Least Common Multiple of 800/654, 5363/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/654, 5363/512 quickly i.e. 2145200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/654, 5363/512 is 2145200.

LCM(800/654, 5363/512) = 2145200

LCM of 800/654, 5363/512

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 800/654,5363/512

Given numbers are 800/654,5363/512

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 800,5363

Least Common Multiple of Numerators i.e. LCM of 800,5363 is 4290400.

GCF of Denominators means GCF of 654,512 as per the given fractions.

GCF of 654,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,5363

LCM of Fractions 800/654,5363/512 is 2145200

Given numbers has no common factors except 1. So, there LCM is their product i.e 4290400

Least Common Multiple of 800,5363 with GCF Formula

Least Common Multiple of 800,5363 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 800,5363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,5363) = 1

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

GCF(800,5363) x common factors =1 x 1 = 1

LCM(800,5363) = ( 800 × 5363 ) / 1

LCM(800,5363) = 4290400 / 1

LCM(800,5363) = 4290400


Lets's calculate GCF of 654,512

2 654, 512
327, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4290400/2

Therefore the LCM of Fractions 800/654,5363/512 is 2145200

Greatest Common Factor of 654,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,512 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 654,512 . The biggest common factor number is the GCF number.
So the greatest common factor 654,512 is 2.


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 800/654, 5363/512

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 800/654, 5363/512?

Answer: LCM of Numerators as per given numbers 800/654, 5363/512 is

LCM of Numerators i.e. for 800,5363 is 4290400

GCF of denominators i.e. for 654,512 is 2.

Thus, LCM of Fractions is 2145200.Finally, LCM of Fractions for 800/654, 5363/512 is 2145200.