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LCM of 509, 193, 444, 299, 299

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


Find the LCM of 509, 193, 444, 299, 299 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 509, 193, 444, 299, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 509,193,444,299,299

Given numbers are 509,193,444,299,299

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

The LCM of 509,193,444,299,299 is 13041551172.

Find LCM of 509,193,444,299,299 with Prime Factorization


13 509, 193, 444, 299, 299
23 509, 193, 444, 23, 23
509, 193, 444, 1, 1

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

13 x 23 x 509 x 193 x 444 x 1 x 1 = 13041551172

Therefore, the lowest common multiple of 509,193,444,299,299 is 13041551172.

LCM Formula to Find Lowest Common Multiple of 509,193,444,299,299

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.

509 x 193 x 444 x 299 x 299 = 3899423800428

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.

509 : 1, 509

193 : 1, 193

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

299 : 1, 13, 23, 299

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,193,444,299,299, is 1.

Now, the common factors can be found like this.

509:509

193:193

444:2x 2x 3x 37

299:13x 23

299:13x 23

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 3899423800428/(1x299)

LCM = 3899423800428/299

LCM = 13041551172

Thus, we can understand that the LCM of 509,193,444,299,299 is 13041551172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 509, 193, 444, 299, 299

1. What is the LCM of 509, 193, 444, 299, 299?

Answer: LCM of 509, 193, 444, 299, 299 is 13041551172.

2. How to calculate the LCM of 509, 193, 444, 299, 299?

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 509, 193, 444, 299, 299.

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}.