Least Common Multiple of 85/206, 96/463, 333/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/206, 96/463, 333/687 quickly i.e. 905760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/206, 96/463, 333/687 is 905760.

LCM(85/206, 96/463, 333/687) = 905760

LCM of 85/206, 96/463, 333/687

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 85/206,96/463,333/687

Given numbers are 85/206,96/463,333/687

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 85,96,333

Least Common Multiple of Numerators i.e. LCM of 85,96,333 is 905760.

GCF of Denominators means GCF of 206,463,687 as per the given fractions.

GCF of 206,463,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,96,333

LCM of Fractions 85/206,96/463,333/687 is 905760

3 85, 96, 333
85, 32, 111

∴ So the LCM of the given numbers is 3 x 85 x 32 x 111 = 905760

Least Common Multiple of 85,96,333 with GCF Formula

Least Common Multiple of 85,96,333 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 85,96,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,96,333) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(85,96,333) x common factors =1 x 3 = 3

LCM(85,96,333) = ( 85 × 96 × 333 ) / 3

LCM(85,96,333) = 2717280 / 3

LCM(85,96,333) = 905760


Lets's calculate GCF of 206,463,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 905760/1

Therefore the LCM of Fractions 85/206,96/463,333/687 is 905760

Greatest Common Factor of 206,463,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,463,687 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 206,463,687 . The biggest common factor number is the GCF number.
So the greatest common factor 206,463,687 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 85/206, 96/463, 333/687

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 85/206, 96/463, 333/687?

Answer: LCM of Numerators as per given numbers 85/206, 96/463, 333/687 is

LCM of Numerators i.e. for 85,96,333 is 905760

GCF of denominators i.e. for 206,463,687 is 1.

Thus, LCM of Fractions is 905760.Finally, LCM of Fractions for 85/206, 96/463, 333/687 is 905760.