Least Common Multiple of 87/506, 16/718, 299/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/506, 16/718, 299/714 quickly i.e. 208104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/506, 16/718, 299/714 is 208104.

LCM(87/506, 16/718, 299/714) = 208104

LCM of 87/506, 16/718, 299/714

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 87/506,16/718,299/714

Given numbers are 87/506,16/718,299/714

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 87,16,299

Least Common Multiple of Numerators i.e. LCM of 87,16,299 is 416208.

GCF of Denominators means GCF of 506,718,714 as per the given fractions.

GCF of 506,718,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,16,299

LCM of Fractions 87/506,16/718,299/714 is 208104

Given numbers has no common factors except 1. So, there LCM is their product i.e 416208

Least Common Multiple of 87,16,299 with GCF Formula

Least Common Multiple of 87,16,299 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 87,16,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,16,299) = 1

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

GCF(87,16,299) x common factors =1 x 1 = 1

LCM(87,16,299) = ( 87 × 16 × 299 ) / 1

LCM(87,16,299) = 416208 / 1

LCM(87,16,299) = 416208


Lets's calculate GCF of 506,718,714

2 506, 718, 714
253, 359, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416208/2

Therefore the LCM of Fractions 87/506,16/718,299/714 is 208104

Greatest Common Factor of 506,718,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,718,714 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 506,718,714 . The biggest common factor number is the GCF number.
So the greatest common factor 506,718,714 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 87/506, 16/718, 299/714

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 87/506, 16/718, 299/714?

Answer: LCM of Numerators as per given numbers 87/506, 16/718, 299/714 is

LCM of Numerators i.e. for 87,16,299 is 416208

GCF of denominators i.e. for 506,718,714 is 2.

Thus, LCM of Fractions is 208104.Finally, LCM of Fractions for 87/506, 16/718, 299/714 is 208104.