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LCM of 319, 404, 404, 533

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


Find the LCM of 319, 404, 404, 533 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, 404, 404, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,404,404,533

Given numbers are 319,404,404,533

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

The LCM of 319,404,404,533 is 68690908.

Find LCM of 319,404,404,533 with Prime Factorization


2 319, 404, 404, 533
2 319, 202, 202, 533
101 319, 101, 101, 533
319, 1, 1, 533

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

2 x 2 x 101 x 319 x 1 x 1 x 533 = 68690908

Therefore, the lowest common multiple of 319,404,404,533 is 68690908.

LCM Formula to Find Lowest Common Multiple of 319,404,404,533

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 404 x 404 x 533 = 27751126832

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

404 : 1, 2, 4, 101, 202, 404

404 : 1, 2, 4, 101, 202, 404

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,404,404,533, is 1.

Now, the common factors can be found like this.

319:11x 29

404:2x 2x 101

404:2x 2x 101

533:13x 41

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 101 = 404

Therefore, the value for common factors is 404.

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 = 27751126832/(1x404)

LCM = 27751126832/404

LCM = 68690908

Thus, we can understand that the LCM of 319,404,404,533 is 68690908.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 404, 404, 533

1. What is the LCM of 319, 404, 404, 533?

Answer: LCM of 319, 404, 404, 533 is 68690908.

2. How to calculate the LCM of 319, 404, 404, 533?

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, 404, 404, 533.

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}.