Least Common Multiple of 3686/471, 7945/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3686/471, 7945/813 quickly i.e. 29285270/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3686/471, 7945/813 is 29285270/3.

LCM(3686/471, 7945/813) = 29285270/3

LCM of 3686/471, 7945/813

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 3686/471,7945/813

Given numbers are 3686/471,7945/813

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 3686,7945

Least Common Multiple of Numerators i.e. LCM of 3686,7945 is 29285270.

GCF of Denominators means GCF of 471,813 as per the given fractions.

GCF of 471,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3686,7945

LCM of Fractions 3686/471,7945/813 is 29285270/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 29285270

Least Common Multiple of 3686,7945 with GCF Formula

Least Common Multiple of 3686,7945 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 3686,7945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3686,7945) = 1

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

GCF(3686,7945) x common factors =1 x 1 = 1

LCM(3686,7945) = ( 3686 × 7945 ) / 1

LCM(3686,7945) = 29285270 / 1

LCM(3686,7945) = 29285270


Lets's calculate GCF of 471,813

3 471, 813
157, 271

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29285270/3

Therefore the LCM of Fractions 3686/471,7945/813 is 29285270/3

Greatest Common Factor of 471,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,813 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 471,813 . The biggest common factor number is the GCF number.
So the greatest common factor 471,813 is 3.


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 3686/471, 7945/813

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 3686/471, 7945/813?

Answer: LCM of Numerators as per given numbers 3686/471, 7945/813 is

LCM of Numerators i.e. for 3686,7945 is 29285270

GCF of denominators i.e. for 471,813 is 3.

Thus, LCM of Fractions is 29285270/3.Finally, LCM of Fractions for 3686/471, 7945/813 is 29285270/3.