Least Common Multiple of 12/208, 87/379, 176/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/208, 87/379, 176/516 quickly i.e. 15312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/208, 87/379, 176/516 is 15312.

LCM(12/208, 87/379, 176/516) = 15312

LCM of 12/208, 87/379, 176/516

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 12/208,87/379,176/516

Given numbers are 12/208,87/379,176/516

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 12,87,176

Least Common Multiple of Numerators i.e. LCM of 12,87,176 is 15312.

GCF of Denominators means GCF of 208,379,516 as per the given fractions.

GCF of 208,379,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,87,176

LCM of Fractions 12/208,87/379,176/516 is 15312

2 12, 87, 176
2 6, 87, 88
3 3, 87, 44
1, 29, 44

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 29 x 44 = 15312

Least Common Multiple of 12,87,176 with GCF Formula

Least Common Multiple of 12,87,176 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 12,87,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,87,176) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,87,176) x common factors =1 x 12 = 12

LCM(12,87,176) = ( 12 × 87 × 176 ) / 12

LCM(12,87,176) = 183744 / 12

LCM(12,87,176) = 15312


Lets's calculate GCF of 208,379,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15312/1

Therefore the LCM of Fractions 12/208,87/379,176/516 is 15312

Greatest Common Factor of 208,379,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,379,516 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

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 208,379,516 . The biggest common factor number is the GCF number.
So the greatest common factor 208,379,516 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 12/208, 87/379, 176/516

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 12/208, 87/379, 176/516?

Answer: LCM of Numerators as per given numbers 12/208, 87/379, 176/516 is

LCM of Numerators i.e. for 12,87,176 is 15312

GCF of denominators i.e. for 208,379,516 is 1.

Thus, LCM of Fractions is 15312.Finally, LCM of Fractions for 12/208, 87/379, 176/516 is 15312.