Least Common Multiple of 3710/143, 3636/4081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3710/143, 3636/4081 quickly i.e. 6744780/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3710/143, 3636/4081 is 6744780/11.

LCM(3710/143, 3636/4081) = 6744780/11

LCM of 3710/143, 3636/4081

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 3710/143,3636/4081

Given numbers are 3710/143,3636/4081

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 3710,3636

Least Common Multiple of Numerators i.e. LCM of 3710,3636 is 6744780.

GCF of Denominators means GCF of 143,4081 as per the given fractions.

GCF of 143,4081 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3710,3636

LCM of Fractions 3710/143,3636/4081 is 6744780/11

2 3710, 3636
1855, 1818

∴ So the LCM of the given numbers is 2 x 1855 x 1818 = 6744780

Least Common Multiple of 3710,3636 with GCF Formula

Least Common Multiple of 3710,3636 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 3710,3636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3710,3636) = 2

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

GCF(3710,3636) x common factors =2 x 1 = 2

LCM(3710,3636) = ( 3710 × 3636 ) / 2

LCM(3710,3636) = 13489560 / 2

LCM(3710,3636) = 6744780


Lets's calculate GCF of 143,4081

11 143, 4081
13, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6744780/11

Therefore the LCM of Fractions 3710/143,3636/4081 is 6744780/11

Greatest Common Factor of 143,4081 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,4081 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 4081

List of positive integer factors of 4081 that divides 4081 without a remainder.

1,7,11,53,77,371,583,4081

Greatest Common Factor

We found the factors 143,4081 . The biggest common factor number is the GCF number.
So the greatest common factor 143,4081 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 3710/143, 3636/4081

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 3710/143, 3636/4081?

Answer: LCM of Numerators as per given numbers 3710/143, 3636/4081 is

LCM of Numerators i.e. for 3710,3636 is 6744780

GCF of denominators i.e. for 143,4081 is 11.

Thus, LCM of Fractions is 6744780/11.Finally, LCM of Fractions for 3710/143, 3636/4081 is 6744780/11.