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LCM of 319, 483, 407, 406

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


Find the LCM of 319, 483, 407, 406 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 319, 483, 407, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,483,407,406

Given numbers are 319,483,407,406

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

The LCM of 319,483,407,406 is 11401698.

Find LCM of 319,483,407,406 with Prime Factorization


7 319, 483, 407, 406
11 319, 69, 407, 58
29 29, 69, 37, 58
1, 69, 37, 2

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

7 x 11 x 29 x 1 x 69 x 37 x 2 = 11401698

Therefore, the lowest common multiple of 319,483,407,406 is 11401698.

LCM Formula to Find Lowest Common Multiple of 319,483,407,406

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.

319 x 483 x 407 x 406 = 25459991634

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.

319 : 1, 11, 29, 319

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

407 : 1, 11, 37, 407

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,483,407,406, is 1.

Now, the common factors can be found like this.

319:11x 29

483:3x 7x 23

407:11x 37

406:2x 7x 29

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

7x 11x 29 = 2233

Therefore, the value for common factors is 2233.

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 = 25459991634/(1x2233)

LCM = 25459991634/2233

LCM = 11401698

Thus, we can understand that the LCM of 319,483,407,406 is 11401698.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 483, 407, 406

1. What is the LCM of 319, 483, 407, 406?

Answer: LCM of 319, 483, 407, 406 is 11401698.

2. How to calculate the LCM of 319, 483, 407, 406?

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 319, 483, 407, 406.

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}.