Least Common Multiple of 8471/512, 1853/6432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8471/512, 1853/6432 quickly i.e. 15696763/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8471/512, 1853/6432 is 15696763/32.

LCM(8471/512, 1853/6432) = 15696763/32

LCM of 8471/512, 1853/6432

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 8471/512,1853/6432

Given numbers are 8471/512,1853/6432

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 8471,1853

Least Common Multiple of Numerators i.e. LCM of 8471,1853 is 15696763.

GCF of Denominators means GCF of 512,6432 as per the given fractions.

GCF of 512,6432 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8471,1853

LCM of Fractions 8471/512,1853/6432 is 15696763/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 15696763

Least Common Multiple of 8471,1853 with GCF Formula

Least Common Multiple of 8471,1853 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 8471,1853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8471,1853) = 1

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

GCF(8471,1853) x common factors =1 x 1 = 1

LCM(8471,1853) = ( 8471 × 1853 ) / 1

LCM(8471,1853) = 15696763 / 1

LCM(8471,1853) = 15696763


Lets's calculate GCF of 512,6432

2 512, 6432
2 256, 3216
2 128, 1608
2 64, 804
2 32, 402
16, 201

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15696763/32

Therefore the LCM of Fractions 8471/512,1853/6432 is 15696763/32

Greatest Common Factor of 512,6432 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,6432 By Matching Biggest Common Factor Method

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

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Greatest Common Factor

We found the factors 512,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 512,6432 is 32.


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 8471/512, 1853/6432

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 8471/512, 1853/6432?

Answer: LCM of Numerators as per given numbers 8471/512, 1853/6432 is

LCM of Numerators i.e. for 8471,1853 is 15696763

GCF of denominators i.e. for 512,6432 is 32.

Thus, LCM of Fractions is 15696763/32.Finally, LCM of Fractions for 8471/512, 1853/6432 is 15696763/32.