Least Common Multiple of 8116/238, 7988/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8116/238, 7988/516 quickly i.e. 8103826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8116/238, 7988/516 is 8103826.

LCM(8116/238, 7988/516) = 8103826

LCM of 8116/238, 7988/516

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 8116/238,7988/516

Given numbers are 8116/238,7988/516

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 8116,7988

Least Common Multiple of Numerators i.e. LCM of 8116,7988 is 16207652.

GCF of Denominators means GCF of 238,516 as per the given fractions.

GCF of 238,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8116,7988

LCM of Fractions 8116/238,7988/516 is 8103826

2 8116, 7988
2 4058, 3994
2029, 1997

∴ So the LCM of the given numbers is 2 x 2 x 2029 x 1997 = 16207652

Least Common Multiple of 8116,7988 with GCF Formula

Least Common Multiple of 8116,7988 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 8116,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8116,7988) = 4

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

GCF(8116,7988) x common factors =4 x 1 = 4

LCM(8116,7988) = ( 8116 × 7988 ) / 4

LCM(8116,7988) = 64830608 / 4

LCM(8116,7988) = 16207652


Lets's calculate GCF of 238,516

2 238, 516
119, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16207652/2

Therefore the LCM of Fractions 8116/238,7988/516 is 8103826

Greatest Common Factor of 238,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,516 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 238,516 . The biggest common factor number is the GCF number.
So the greatest common factor 238,516 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 8116/238, 7988/516

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 8116/238, 7988/516?

Answer: LCM of Numerators as per given numbers 8116/238, 7988/516 is

LCM of Numerators i.e. for 8116,7988 is 16207652

GCF of denominators i.e. for 238,516 is 2.

Thus, LCM of Fractions is 8103826.Finally, LCM of Fractions for 8116/238, 7988/516 is 8103826.