Least Common Multiple of 683/111, 3909/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/111, 3909/111 quickly i.e. 2669847/111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/111, 3909/111 is 2669847/111.

LCM(683/111, 3909/111) = 2669847/111

LCM of 683/111, 3909/111

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 683/111,3909/111

Given numbers are 683/111,3909/111

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 683,3909

Least Common Multiple of Numerators i.e. LCM of 683,3909 is 2669847.

GCF of Denominators means GCF of 111,111 as per the given fractions.

GCF of 111,111 is 111 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,3909

LCM of Fractions 683/111,3909/111 is 2669847/111

Given numbers has no common factors except 1. So, there LCM is their product i.e 2669847

Least Common Multiple of 683,3909 with GCF Formula

Least Common Multiple of 683,3909 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 683,3909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,3909) = 1

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

GCF(683,3909) x common factors =1 x 1 = 1

LCM(683,3909) = ( 683 × 3909 ) / 1

LCM(683,3909) = 2669847 / 1

LCM(683,3909) = 2669847


Lets's calculate GCF of 111,111

3 111, 111
37 37, 37
1, 1

∴ So the GCF of the given numbers is 3 x 37 = 111

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2669847/111

Therefore the LCM of Fractions 683/111,3909/111 is 2669847/111

Greatest Common Factor of 111,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,111 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 111,111 . The biggest common factor number is the GCF number.
So the greatest common factor 111,111 is 111.


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 683/111, 3909/111

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 683/111, 3909/111?

Answer: LCM of Numerators as per given numbers 683/111, 3909/111 is

LCM of Numerators i.e. for 683,3909 is 2669847

GCF of denominators i.e. for 111,111 is 111.

Thus, LCM of Fractions is 2669847/111.Finally, LCM of Fractions for 683/111, 3909/111 is 2669847/111.