Least Common Multiple of 8486/407, 3990/3014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8486/407, 3990/3014 quickly i.e. 16929570/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8486/407, 3990/3014 is 16929570/11.

LCM(8486/407, 3990/3014) = 16929570/11

LCM of 8486/407, 3990/3014

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 8486/407,3990/3014

Given numbers are 8486/407,3990/3014

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 8486,3990

Least Common Multiple of Numerators i.e. LCM of 8486,3990 is 16929570.

GCF of Denominators means GCF of 407,3014 as per the given fractions.

GCF of 407,3014 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8486,3990

LCM of Fractions 8486/407,3990/3014 is 16929570/11

2 8486, 3990
4243, 1995

∴ So the LCM of the given numbers is 2 x 4243 x 1995 = 16929570

Least Common Multiple of 8486,3990 with GCF Formula

Least Common Multiple of 8486,3990 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 8486,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8486,3990) = 2

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

GCF(8486,3990) x common factors =2 x 1 = 2

LCM(8486,3990) = ( 8486 × 3990 ) / 2

LCM(8486,3990) = 33859140 / 2

LCM(8486,3990) = 16929570


Lets's calculate GCF of 407,3014

11 407, 3014
37, 274

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16929570/11

Therefore the LCM of Fractions 8486/407,3990/3014 is 16929570/11

Greatest Common Factor of 407,3014 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,3014 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Greatest Common Factor

We found the factors 407,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 407,3014 is 11.


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 8486/407, 3990/3014

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 8486/407, 3990/3014?

Answer: LCM of Numerators as per given numbers 8486/407, 3990/3014 is

LCM of Numerators i.e. for 8486,3990 is 16929570

GCF of denominators i.e. for 407,3014 is 11.

Thus, LCM of Fractions is 16929570/11.Finally, LCM of Fractions for 8486/407, 3990/3014 is 16929570/11.