Least Common Multiple of 516/92, 384/8248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/92, 384/8248 quickly i.e. 4128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/92, 384/8248 is 4128.

LCM(516/92, 384/8248) = 4128

LCM of 516/92, 384/8248

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 516/92,384/8248

Given numbers are 516/92,384/8248

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 516,384

Least Common Multiple of Numerators i.e. LCM of 516,384 is 16512.

GCF of Denominators means GCF of 92,8248 as per the given fractions.

GCF of 92,8248 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,384

LCM of Fractions 516/92,384/8248 is 4128

2 516, 384
2 258, 192
3 129, 96
43, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 32 = 16512

Least Common Multiple of 516,384 with GCF Formula

Least Common Multiple of 516,384 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 516,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,384) = 12

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

GCF(516,384) x common factors =12 x 1 = 12

LCM(516,384) = ( 516 × 384 ) / 12

LCM(516,384) = 198144 / 12

LCM(516,384) = 16512


Lets's calculate GCF of 92,8248

2 92, 8248
2 46, 4124
23, 2062

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16512/4

Therefore the LCM of Fractions 516/92,384/8248 is 4128

Greatest Common Factor of 92,8248 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,8248 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1,2,4,8,1031,2062,4124,8248

Greatest Common Factor

We found the factors 92,8248 . The biggest common factor number is the GCF number.
So the greatest common factor 92,8248 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 516/92, 384/8248

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 516/92, 384/8248?

Answer: LCM of Numerators as per given numbers 516/92, 384/8248 is

LCM of Numerators i.e. for 516,384 is 16512

GCF of denominators i.e. for 92,8248 is 4.

Thus, LCM of Fractions is 4128.Finally, LCM of Fractions for 516/92, 384/8248 is 4128.