Least Common Multiple of 168/15, 313/8310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/15, 313/8310 quickly i.e. 52584/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/15, 313/8310 is 52584/15.

LCM(168/15, 313/8310) = 52584/15

LCM of 168/15, 313/8310

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 168/15,313/8310

Given numbers are 168/15,313/8310

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 168,313

Least Common Multiple of Numerators i.e. LCM of 168,313 is 52584.

GCF of Denominators means GCF of 15,8310 as per the given fractions.

GCF of 15,8310 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,313

LCM of Fractions 168/15,313/8310 is 52584/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 52584

Least Common Multiple of 168,313 with GCF Formula

Least Common Multiple of 168,313 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 168,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,313) = 1

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

GCF(168,313) x common factors =1 x 1 = 1

LCM(168,313) = ( 168 × 313 ) / 1

LCM(168,313) = 52584 / 1

LCM(168,313) = 52584


Lets's calculate GCF of 15,8310

3 15, 8310
5 5, 2770
1, 554

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52584/15

Therefore the LCM of Fractions 168/15,313/8310 is 52584/15

Greatest Common Factor of 15,8310 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,8310 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 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Greatest Common Factor

We found the factors 15,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 15,8310 is 15.


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 168/15, 313/8310

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 168/15, 313/8310?

Answer: LCM of Numerators as per given numbers 168/15, 313/8310 is

LCM of Numerators i.e. for 168,313 is 52584

GCF of denominators i.e. for 15,8310 is 15.

Thus, LCM of Fractions is 52584/15.Finally, LCM of Fractions for 168/15, 313/8310 is 52584/15.