Least Common Multiple of 687/15, 343/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/15, 343/684 quickly i.e. 78547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/15, 343/684 is 78547.

LCM(687/15, 343/684) = 78547

LCM of 687/15, 343/684

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 687/15,343/684

Given numbers are 687/15,343/684

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 687,343

Least Common Multiple of Numerators i.e. LCM of 687,343 is 235641.

GCF of Denominators means GCF of 15,684 as per the given fractions.

GCF of 15,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,343

LCM of Fractions 687/15,343/684 is 78547

Given numbers has no common factors except 1. So, there LCM is their product i.e 235641

Least Common Multiple of 687,343 with GCF Formula

Least Common Multiple of 687,343 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 687,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,343) = 1

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

GCF(687,343) x common factors =1 x 1 = 1

LCM(687,343) = ( 687 × 343 ) / 1

LCM(687,343) = 235641 / 1

LCM(687,343) = 235641


Lets's calculate GCF of 15,684

3 15, 684
5, 228

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235641/3

Therefore the LCM of Fractions 687/15,343/684 is 78547

Greatest Common Factor of 15,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,684 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 15,684 . The biggest common factor number is the GCF number.
So the greatest common factor 15,684 is 3.


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 687/15, 343/684

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 687/15, 343/684?

Answer: LCM of Numerators as per given numbers 687/15, 343/684 is

LCM of Numerators i.e. for 687,343 is 235641

GCF of denominators i.e. for 15,684 is 3.

Thus, LCM of Fractions is 78547.Finally, LCM of Fractions for 687/15, 343/684 is 78547.