Least Common Multiple of 512/392, 479/188, 198/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/392, 479/188, 198/992 quickly i.e. 6069888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/392, 479/188, 198/992 is 6069888.

LCM(512/392, 479/188, 198/992) = 6069888

LCM of 512/392, 479/188, 198/992

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 512/392,479/188,198/992

Given numbers are 512/392,479/188,198/992

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 512,479,198

Least Common Multiple of Numerators i.e. LCM of 512,479,198 is 24279552.

GCF of Denominators means GCF of 392,188,992 as per the given fractions.

GCF of 392,188,992 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,479,198

LCM of Fractions 512/392,479/188,198/992 is 6069888

2 512, 479, 198
256, 479, 99

∴ So the LCM of the given numbers is 2 x 256 x 479 x 99 = 24279552

Least Common Multiple of 512,479,198 with GCF Formula

Least Common Multiple of 512,479,198 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 512,479,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,479,198) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(512,479,198) x common factors =1 x 2 = 2

LCM(512,479,198) = ( 512 × 479 × 198 ) / 2

LCM(512,479,198) = 48559104 / 2

LCM(512,479,198) = 24279552


Lets's calculate GCF of 392,188,992

2 392, 188, 992
2 196, 94, 496
98, 47, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24279552/4

Therefore the LCM of Fractions 512/392,479/188,198/992 is 6069888

Greatest Common Factor of 392,188,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,188,992 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 392,188,992 . The biggest common factor number is the GCF number.
So the greatest common factor 392,188,992 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 512/392, 479/188, 198/992

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 512/392, 479/188, 198/992?

Answer: LCM of Numerators as per given numbers 512/392, 479/188, 198/992 is

LCM of Numerators i.e. for 512,479,198 is 24279552

GCF of denominators i.e. for 392,188,992 is 4.

Thus, LCM of Fractions is 6069888.Finally, LCM of Fractions for 512/392, 479/188, 198/992 is 6069888.