Least Common Multiple of 512/113, 8992/6556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/113, 8992/6556 quickly i.e. 143872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/113, 8992/6556 is 143872.

LCM(512/113, 8992/6556) = 143872

LCM of 512/113, 8992/6556

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 512/113,8992/6556

Given numbers are 512/113,8992/6556

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 512,8992

Least Common Multiple of Numerators i.e. LCM of 512,8992 is 143872.

GCF of Denominators means GCF of 113,6556 as per the given fractions.

GCF of 113,6556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,8992

LCM of Fractions 512/113,8992/6556 is 143872

2 512, 8992
2 256, 4496
2 128, 2248
2 64, 1124
2 32, 562
16, 281

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 16 x 281 = 143872

Least Common Multiple of 512,8992 with GCF Formula

Least Common Multiple of 512,8992 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 512,8992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,8992) = 32

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

GCF(512,8992) x common factors =32 x 1 = 32

LCM(512,8992) = ( 512 × 8992 ) / 32

LCM(512,8992) = 4603904 / 32

LCM(512,8992) = 143872


Lets's calculate GCF of 113,6556

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143872/1

Therefore the LCM of Fractions 512/113,8992/6556 is 143872

Greatest Common Factor of 113,6556 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,6556 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 6556

List of positive integer factors of 6556 that divides 6556 without a remainder.

1,2,4,11,22,44,149,298,596,1639,3278,6556

Greatest Common Factor

We found the factors 113,6556 . The biggest common factor number is the GCF number.
So the greatest common factor 113,6556 is 1.


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 512/113, 8992/6556

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 512/113, 8992/6556?

Answer: LCM of Numerators as per given numbers 512/113, 8992/6556 is

LCM of Numerators i.e. for 512,8992 is 143872

GCF of denominators i.e. for 113,6556 is 1.

Thus, LCM of Fractions is 143872.Finally, LCM of Fractions for 512/113, 8992/6556 is 143872.