Least Common Multiple of 42/408, 8686/4715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/408, 8686/4715 quickly i.e. 182406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/408, 8686/4715 is 182406.

LCM(42/408, 8686/4715) = 182406

LCM of 42/408, 8686/4715

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 42/408,8686/4715

Given numbers are 42/408,8686/4715

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 42,8686

Least Common Multiple of Numerators i.e. LCM of 42,8686 is 182406.

GCF of Denominators means GCF of 408,4715 as per the given fractions.

GCF of 408,4715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,8686

LCM of Fractions 42/408,8686/4715 is 182406

2 42, 8686
21, 4343

∴ So the LCM of the given numbers is 2 x 21 x 4343 = 182406

Least Common Multiple of 42,8686 with GCF Formula

Least Common Multiple of 42,8686 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 42,8686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8686) = 2

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

GCF(42,8686) x common factors =2 x 1 = 2

LCM(42,8686) = ( 42 × 8686 ) / 2

LCM(42,8686) = 364812 / 2

LCM(42,8686) = 182406


Lets's calculate GCF of 408,4715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182406/1

Therefore the LCM of Fractions 42/408,8686/4715 is 182406

Greatest Common Factor of 408,4715 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,4715 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 4715

List of positive integer factors of 4715 that divides 4715 without a remainder.

1,5,23,41,115,205,943,4715

Greatest Common Factor

We found the factors 408,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 408,4715 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 42/408, 8686/4715

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 42/408, 8686/4715?

Answer: LCM of Numerators as per given numbers 42/408, 8686/4715 is

LCM of Numerators i.e. for 42,8686 is 182406

GCF of denominators i.e. for 408,4715 is 1.

Thus, LCM of Fractions is 182406.Finally, LCM of Fractions for 42/408, 8686/4715 is 182406.