Least Common Multiple of 18/20, 914/12, 412/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/20, 914/12, 412/672 quickly i.e. 423639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/20, 914/12, 412/672 is 423639.

LCM(18/20, 914/12, 412/672) = 423639

LCM of 18/20, 914/12, 412/672

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 18/20,914/12,412/672

Given numbers are 18/20,914/12,412/672

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 18,914,412

Least Common Multiple of Numerators i.e. LCM of 18,914,412 is 1694556.

GCF of Denominators means GCF of 20,12,672 as per the given fractions.

GCF of 20,12,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,914,412

LCM of Fractions 18/20,914/12,412/672 is 423639

2 18, 914, 412
9, 457, 206

∴ So the LCM of the given numbers is 2 x 9 x 457 x 206 = 1694556

Least Common Multiple of 18,914,412 with GCF Formula

Least Common Multiple of 18,914,412 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 18,914,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,914,412) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(18,914,412) x common factors =2 x 2 = 4

LCM(18,914,412) = ( 18 × 914 × 412 ) / 4

LCM(18,914,412) = 6778224 / 4

LCM(18,914,412) = 1694556


Lets's calculate GCF of 20,12,672

2 20, 12, 672
2 10, 6, 336
5, 3, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1694556/4

Therefore the LCM of Fractions 18/20,914/12,412/672 is 423639

Greatest Common Factor of 20,12,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,12,672 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 12

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

1,2,3,4,6,12

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 20,12,672 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,672 is 4.


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 18/20, 914/12, 412/672

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 18/20, 914/12, 412/672?

Answer: LCM of Numerators as per given numbers 18/20, 914/12, 412/672 is

LCM of Numerators i.e. for 18,914,412 is 1694556

GCF of denominators i.e. for 20,12,672 is 4.

Thus, LCM of Fractions is 423639.Finally, LCM of Fractions for 18/20, 914/12, 412/672 is 423639.