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LCM of 318, 810, 444, 424

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


Find the LCM of 318, 810, 444, 424 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 318, 810, 444, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,810,444,424

Given numbers are 318,810,444,424

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

The LCM of 318,810,444,424 is 6353640.

Find LCM of 318,810,444,424 with Prime Factorization


2 318, 810, 444, 424
2 159, 405, 222, 212
3 159, 405, 111, 106
53 53, 135, 37, 106
1, 135, 37, 2

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

2 x 2 x 3 x 53 x 1 x 135 x 37 x 2 = 6353640

Therefore, the lowest common multiple of 318,810,444,424 is 6353640.

LCM Formula to Find Lowest Common Multiple of 318,810,444,424

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.

318 x 810 x 444 x 424 = 48490980480

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,810,444,424, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

810:2x 3x 3x 3x 3x 5

444:2x 2x 3x 37

424:2x 2x 2x 53

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

2x 2x 2x 3x 3x 53 = 3816

Therefore, the value for common factors is 3816.

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 = 48490980480/(2x3816)

LCM = 48490980480/7632

LCM = 6353640

Thus, we can understand that the LCM of 318,810,444,424 is 6353640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 810, 444, 424

1. What is the LCM of 318, 810, 444, 424?

Answer: LCM of 318, 810, 444, 424 is 6353640.

2. How to calculate the LCM of 318, 810, 444, 424?

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 318, 810, 444, 424.

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}.