Least Common Multiple of 814/40, 105/4018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/40, 105/4018 quickly i.e. 42735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/40, 105/4018 is 42735.

LCM(814/40, 105/4018) = 42735

LCM of 814/40, 105/4018

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 814/40,105/4018

Given numbers are 814/40,105/4018

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 814,105

Least Common Multiple of Numerators i.e. LCM of 814,105 is 85470.

GCF of Denominators means GCF of 40,4018 as per the given fractions.

GCF of 40,4018 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,105

LCM of Fractions 814/40,105/4018 is 42735

Given numbers has no common factors except 1. So, there LCM is their product i.e 85470

Least Common Multiple of 814,105 with GCF Formula

Least Common Multiple of 814,105 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 814,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,105) = 1

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

GCF(814,105) x common factors =1 x 1 = 1

LCM(814,105) = ( 814 × 105 ) / 1

LCM(814,105) = 85470 / 1

LCM(814,105) = 85470


Lets's calculate GCF of 40,4018

2 40, 4018
20, 2009

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85470/2

Therefore the LCM of Fractions 814/40,105/4018 is 42735

Greatest Common Factor of 40,4018 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4018 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors 40,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4018 is 2.


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 814/40, 105/4018

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 814/40, 105/4018?

Answer: LCM of Numerators as per given numbers 814/40, 105/4018 is

LCM of Numerators i.e. for 814,105 is 85470

GCF of denominators i.e. for 40,4018 is 2.

Thus, LCM of Fractions is 42735.Finally, LCM of Fractions for 814/40, 105/4018 is 42735.