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LCM of 182, 509, 406, 319

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


Find the LCM of 182, 509, 406, 319 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 182, 509, 406, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,509,406,319

Given numbers are 182,509,406,319

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

The LCM of 182,509,406,319 is 29551522.

Find LCM of 182,509,406,319 with Prime Factorization


2 182, 509, 406, 319
7 91, 509, 203, 319
29 13, 509, 29, 319
13, 509, 1, 11

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

2 x 7 x 29 x 13 x 509 x 1 x 11 = 29551522

Therefore, the lowest common multiple of 182,509,406,319 is 29551522.

LCM Formula to Find Lowest Common Multiple of 182,509,406,319

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.

182 x 509 x 406 x 319 = 11997917932

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

509 : 1, 509

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

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,509,406,319, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

509:509

406:2x 7x 29

319:11x 29

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

2x 7x 29 = 406

Therefore, the value for common factors is 406.

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 = 11997917932/(1x406)

LCM = 11997917932/406

LCM = 29551522

Thus, we can understand that the LCM of 182,509,406,319 is 29551522.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 509, 406, 319

1. What is the LCM of 182, 509, 406, 319?

Answer: LCM of 182, 509, 406, 319 is 29551522.

2. How to calculate the LCM of 182, 509, 406, 319?

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 182, 509, 406, 319.

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}.