Least Common Multiple of 12/87, 231/44, 352/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/87, 231/44, 352/447 quickly i.e. 7392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/87, 231/44, 352/447 is 7392.

LCM(12/87, 231/44, 352/447) = 7392

LCM of 12/87, 231/44, 352/447

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 12/87,231/44,352/447

Given numbers are 12/87,231/44,352/447

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 12,231,352

Least Common Multiple of Numerators i.e. LCM of 12,231,352 is 7392.

GCF of Denominators means GCF of 87,44,447 as per the given fractions.

GCF of 87,44,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,231,352

LCM of Fractions 12/87,231/44,352/447 is 7392

2 12, 231, 352
2 6, 231, 176
3 3, 231, 88
11 1, 77, 88
1, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 7 x 8 = 7392

Least Common Multiple of 12,231,352 with GCF Formula

Least Common Multiple of 12,231,352 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 12,231,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,231,352) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(12,231,352) x common factors =1 x 132 = 132

LCM(12,231,352) = ( 12 × 231 × 352 ) / 132

LCM(12,231,352) = 975744 / 132

LCM(12,231,352) = 7392


Lets's calculate GCF of 87,44,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7392/1

Therefore the LCM of Fractions 12/87,231/44,352/447 is 7392

Greatest Common Factor of 87,44,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,44,447 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 87,44,447 . The biggest common factor number is the GCF number.
So the greatest common factor 87,44,447 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 12/87, 231/44, 352/447

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 12/87, 231/44, 352/447?

Answer: LCM of Numerators as per given numbers 12/87, 231/44, 352/447 is

LCM of Numerators i.e. for 12,231,352 is 7392

GCF of denominators i.e. for 87,44,447 is 1.

Thus, LCM of Fractions is 7392.Finally, LCM of Fractions for 12/87, 231/44, 352/447 is 7392.