Least Common Multiple of 3683/71, 4009/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3683/71, 4009/211 quickly i.e. 14765147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3683/71, 4009/211 is 14765147.

LCM(3683/71, 4009/211) = 14765147

LCM of 3683/71, 4009/211

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 3683/71,4009/211

Given numbers are 3683/71,4009/211

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 3683,4009

Least Common Multiple of Numerators i.e. LCM of 3683,4009 is 14765147.

GCF of Denominators means GCF of 71,211 as per the given fractions.

GCF of 71,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3683,4009

LCM of Fractions 3683/71,4009/211 is 14765147

Given numbers has no common factors except 1. So, there LCM is their product i.e 14765147

Least Common Multiple of 3683,4009 with GCF Formula

Least Common Multiple of 3683,4009 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 3683,4009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3683,4009) = 1

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

GCF(3683,4009) x common factors =1 x 1 = 1

LCM(3683,4009) = ( 3683 × 4009 ) / 1

LCM(3683,4009) = 14765147 / 1

LCM(3683,4009) = 14765147


Lets's calculate GCF of 71,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14765147/1

Therefore the LCM of Fractions 3683/71,4009/211 is 14765147

Greatest Common Factor of 71,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,211 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 71,211 . The biggest common factor number is the GCF number.
So the greatest common factor 71,211 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 3683/71, 4009/211

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 3683/71, 4009/211?

Answer: LCM of Numerators as per given numbers 3683/71, 4009/211 is

LCM of Numerators i.e. for 3683,4009 is 14765147

GCF of denominators i.e. for 71,211 is 1.

Thus, LCM of Fractions is 14765147.Finally, LCM of Fractions for 3683/71, 4009/211 is 14765147.