Least Common Multiple of 12/18, 93/12, 53/48, 73/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/18, 93/12, 53/48, 73/914 quickly i.e. 719634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/18, 93/12, 53/48, 73/914 is 719634.

LCM(12/18, 93/12, 53/48, 73/914) = 719634

LCM of 12/18, 93/12, 53/48, 73/914

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 12/18,93/12,53/48,73/914

Given numbers are 12/18,93/12,53/48,73/914

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 12,93,53,73

Least Common Multiple of Numerators i.e. LCM of 12,93,53,73 is 1439268.

GCF of Denominators means GCF of 18,12,48,914 as per the given fractions.

GCF of 18,12,48,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,93,53,73

LCM of Fractions 12/18,93/12,53/48,73/914 is 719634

3 12, 93, 53, 73
4, 31, 53, 73

∴ So the LCM of the given numbers is 3 x 4 x 31 x 53 x 73 = 1439268

Least Common Multiple of 12,93,53,73 with GCF Formula

Least Common Multiple of 12,93,53,73 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 12,93,53,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,93,53,73) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(12,93,53,73) x common factors =1 x 3 = 3

LCM(12,93,53,73) = ( 12 × 93 × 53 × 73 ) / 3

LCM(12,93,53,73) = 4317804 / 3

LCM(12,93,53,73) = 1439268


Lets's calculate GCF of 18,12,48,914

2 18, 12, 48, 914
9, 6, 24, 457

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1439268/2

Therefore the LCM of Fractions 12/18,93/12,53/48,73/914 is 719634

Greatest Common Factor of 18,12,48,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,12,48,914 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 12

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

1,2,3,4,6,12

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 18,12,48,914 . The biggest common factor number is the GCF number.
So the greatest common factor 18,12,48,914 is 2.


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 12/18, 93/12, 53/48, 73/914

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 12/18, 93/12, 53/48, 73/914?

Answer: LCM of Numerators as per given numbers 12/18, 93/12, 53/48, 73/914 is

LCM of Numerators i.e. for 12,93,53,73 is 1439268

GCF of denominators i.e. for 18,12,48,914 is 2.

Thus, LCM of Fractions is 719634.Finally, LCM of Fractions for 12/18, 93/12, 53/48, 73/914 is 719634.