Least Common Multiple of 10/345, 8696/3367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/345, 8696/3367 quickly i.e. 43480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/345, 8696/3367 is 43480.

LCM(10/345, 8696/3367) = 43480

LCM of 10/345, 8696/3367

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 10/345,8696/3367

Given numbers are 10/345,8696/3367

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 10,8696

Least Common Multiple of Numerators i.e. LCM of 10,8696 is 43480.

GCF of Denominators means GCF of 345,3367 as per the given fractions.

GCF of 345,3367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,8696

LCM of Fractions 10/345,8696/3367 is 43480

2 10, 8696
5, 4348

∴ So the LCM of the given numbers is 2 x 5 x 4348 = 43480

Least Common Multiple of 10,8696 with GCF Formula

Least Common Multiple of 10,8696 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 10,8696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,8696) = 2

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

GCF(10,8696) x common factors =2 x 1 = 2

LCM(10,8696) = ( 10 × 8696 ) / 2

LCM(10,8696) = 86960 / 2

LCM(10,8696) = 43480


Lets's calculate GCF of 345,3367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43480/1

Therefore the LCM of Fractions 10/345,8696/3367 is 43480

Greatest Common Factor of 345,3367 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,3367 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1,7,13,37,91,259,481,3367

Greatest Common Factor

We found the factors 345,3367 . The biggest common factor number is the GCF number.
So the greatest common factor 345,3367 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 10/345, 8696/3367

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 10/345, 8696/3367?

Answer: LCM of Numerators as per given numbers 10/345, 8696/3367 is

LCM of Numerators i.e. for 10,8696 is 43480

GCF of denominators i.e. for 345,3367 is 1.

Thus, LCM of Fractions is 43480.Finally, LCM of Fractions for 10/345, 8696/3367 is 43480.