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LCM of 144, 426, 181, 483

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 144, 426, 181, 483 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 144, 426, 181, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 144,426,181,483

Given numbers are 144,426,181,483

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 144,426,181,483 is 297937584.

Find LCM of 144,426,181,483 with Prime Factorization


2 144, 426, 181, 483
3 72, 213, 181, 483
24, 71, 181, 161

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 24 x 71 x 181 x 161 = 297937584

Therefore, the lowest common multiple of 144,426,181,483 is 297937584.

LCM Formula to Find Lowest Common Multiple of 144,426,181,483

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

144 x 426 x 181 x 483 = 5362876512

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

426 : 1, 2, 3, 6, 71, 142, 213, 426

181 : 1, 181

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,426,181,483, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

426:2x 3x 71

181:181

483:3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5362876512/(1x18)

LCM = 5362876512/18

LCM = 297937584

Thus, we can understand that the LCM of 144,426,181,483 is 297937584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 144, 426, 181, 483

1. What is the LCM of 144, 426, 181, 483?

Answer: LCM of 144, 426, 181, 483 is 297937584.

2. How to calculate the LCM of 144, 426, 181, 483?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 144, 426, 181, 483.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.