Least Common Multiple of 2105/471, 2672/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2105/471, 2672/471 quickly i.e. 5624560/471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2105/471, 2672/471 is 5624560/471.

LCM(2105/471, 2672/471) = 5624560/471

LCM of 2105/471, 2672/471

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 2105/471,2672/471

Given numbers are 2105/471,2672/471

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 2105,2672

Least Common Multiple of Numerators i.e. LCM of 2105,2672 is 5624560.

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

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

Lets's calculate LCM of 2105,2672

LCM of Fractions 2105/471,2672/471 is 5624560/471

Given numbers has no common factors except 1. So, there LCM is their product i.e 5624560

Least Common Multiple of 2105,2672 with GCF Formula

Least Common Multiple of 2105,2672 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 2105,2672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2105,2672) = 1

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

GCF(2105,2672) x common factors =1 x 1 = 1

LCM(2105,2672) = ( 2105 × 2672 ) / 1

LCM(2105,2672) = 5624560 / 1

LCM(2105,2672) = 5624560


Lets's calculate GCF of 471,471

3 471, 471
157 157, 157
1, 1

∴ So the GCF of the given numbers is 3 x 157 = 471

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5624560/471

Therefore the LCM of Fractions 2105/471,2672/471 is 5624560/471

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

Greatest Common Factor of 471,471 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 471

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

1,3,157,471

Greatest Common Factor

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


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 2105/471, 2672/471

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 2105/471, 2672/471?

Answer: LCM of Numerators as per given numbers 2105/471, 2672/471 is

LCM of Numerators i.e. for 2105,2672 is 5624560

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

Thus, LCM of Fractions is 5624560/471.Finally, LCM of Fractions for 2105/471, 2672/471 is 5624560/471.