Least Common Multiple of 144/18, 422/51, 402/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/18, 422/51, 402/309 quickly i.e. 678576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/18, 422/51, 402/309 is 678576.

LCM(144/18, 422/51, 402/309) = 678576

LCM of 144/18, 422/51, 402/309

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 144/18,422/51,402/309

Given numbers are 144/18,422/51,402/309

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 144,422,402

Least Common Multiple of Numerators i.e. LCM of 144,422,402 is 2035728.

GCF of Denominators means GCF of 18,51,309 as per the given fractions.

GCF of 18,51,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,422,402

LCM of Fractions 144/18,422/51,402/309 is 678576

2 144, 422, 402
3 72, 211, 201
24, 211, 67

∴ So the LCM of the given numbers is 2 x 3 x 24 x 211 x 67 = 2035728

Least Common Multiple of 144,422,402 with GCF Formula

Least Common Multiple of 144,422,402 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 144,422,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,422,402) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(144,422,402) x common factors =2 x 6 = 12

LCM(144,422,402) = ( 144 × 422 × 402 ) / 12

LCM(144,422,402) = 24428736 / 12

LCM(144,422,402) = 2035728


Lets's calculate GCF of 18,51,309

3 18, 51, 309
6, 17, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2035728/3

Therefore the LCM of Fractions 144/18,422/51,402/309 is 678576

Greatest Common Factor of 18,51,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,51,309 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 18,51,309 . The biggest common factor number is the GCF number.
So the greatest common factor 18,51,309 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 144/18, 422/51, 402/309

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 144/18, 422/51, 402/309?

Answer: LCM of Numerators as per given numbers 144/18, 422/51, 402/309 is

LCM of Numerators i.e. for 144,422,402 is 2035728

GCF of denominators i.e. for 18,51,309 is 3.

Thus, LCM of Fractions is 678576.Finally, LCM of Fractions for 144/18, 422/51, 402/309 is 678576.