Least Common Multiple of 8135/403, 4185/2016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8135/403, 4185/2016 quickly i.e. 6808995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8135/403, 4185/2016 is 6808995.

LCM(8135/403, 4185/2016) = 6808995

LCM of 8135/403, 4185/2016

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 8135/403,4185/2016

Given numbers are 8135/403,4185/2016

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 8135,4185

Least Common Multiple of Numerators i.e. LCM of 8135,4185 is 6808995.

GCF of Denominators means GCF of 403,2016 as per the given fractions.

GCF of 403,2016 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8135,4185

LCM of Fractions 8135/403,4185/2016 is 6808995

5 8135, 4185
1627, 837

∴ So the LCM of the given numbers is 5 x 1627 x 837 = 6808995

Least Common Multiple of 8135,4185 with GCF Formula

Least Common Multiple of 8135,4185 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 8135,4185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8135,4185) = 5

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

GCF(8135,4185) x common factors =5 x 1 = 5

LCM(8135,4185) = ( 8135 × 4185 ) / 5

LCM(8135,4185) = 34044975 / 5

LCM(8135,4185) = 6808995


Lets's calculate GCF of 403,2016

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6808995/1

Therefore the LCM of Fractions 8135/403,4185/2016 is 6808995

Greatest Common Factor of 403,2016 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,2016 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Greatest Common Factor

We found the factors 403,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 403,2016 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8135/403, 4185/2016

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 8135/403, 4185/2016?

Answer: LCM of Numerators as per given numbers 8135/403, 4185/2016 is

LCM of Numerators i.e. for 8135,4185 is 6808995

GCF of denominators i.e. for 403,2016 is 1.

Thus, LCM of Fractions is 6808995.Finally, LCM of Fractions for 8135/403, 4185/2016 is 6808995.