Least Common Multiple of 472/12, 914/6615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/12, 914/6615 quickly i.e. 215704/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/12, 914/6615 is 215704/3.

LCM(472/12, 914/6615) = 215704/3

LCM of 472/12, 914/6615

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 472/12,914/6615

Given numbers are 472/12,914/6615

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 472,914

Least Common Multiple of Numerators i.e. LCM of 472,914 is 215704.

GCF of Denominators means GCF of 12,6615 as per the given fractions.

GCF of 12,6615 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,914

LCM of Fractions 472/12,914/6615 is 215704/3

2 472, 914
236, 457

∴ So the LCM of the given numbers is 2 x 236 x 457 = 215704

Least Common Multiple of 472,914 with GCF Formula

Least Common Multiple of 472,914 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 472,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,914) = 2

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

GCF(472,914) x common factors =2 x 1 = 2

LCM(472,914) = ( 472 × 914 ) / 2

LCM(472,914) = 431408 / 2

LCM(472,914) = 215704


Lets's calculate GCF of 12,6615

3 12, 6615
4, 2205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215704/3

Therefore the LCM of Fractions 472/12,914/6615 is 215704/3

Greatest Common Factor of 12,6615 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,6615 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615

Greatest Common Factor

We found the factors 12,6615 . The biggest common factor number is the GCF number.
So the greatest common factor 12,6615 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 472/12, 914/6615

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 472/12, 914/6615?

Answer: LCM of Numerators as per given numbers 472/12, 914/6615 is

LCM of Numerators i.e. for 472,914 is 215704

GCF of denominators i.e. for 12,6615 is 3.

Thus, LCM of Fractions is 215704/3.Finally, LCM of Fractions for 472/12, 914/6615 is 215704/3.