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LCM of 299, 355, 355, 842

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


Find the LCM of 299, 355, 355, 842 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 299, 355, 355, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,355,355,842

Given numbers are 299,355,355,842

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

The LCM of 299,355,355,842 is 89374090.

Find LCM of 299,355,355,842 with Prime Factorization


5 299, 355, 355, 842
71 299, 71, 71, 842
299, 1, 1, 842

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

5 x 71 x 299 x 1 x 1 x 842 = 89374090

Therefore, the lowest common multiple of 299,355,355,842 is 89374090.

LCM Formula to Find Lowest Common Multiple of 299,355,355,842

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.

299 x 355 x 355 x 842 = 31727801950

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.

299 : 1, 13, 23, 299

355 : 1, 5, 71, 355

355 : 1, 5, 71, 355

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,355,355,842, is 1.

Now, the common factors can be found like this.

299:13x 23

355:5x 71

355:5x 71

842:2x 421

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

5x 71 = 355

Therefore, the value for common factors is 355.

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 = 31727801950/(1x355)

LCM = 31727801950/355

LCM = 89374090

Thus, we can understand that the LCM of 299,355,355,842 is 89374090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 355, 355, 842

1. What is the LCM of 299, 355, 355, 842?

Answer: LCM of 299, 355, 355, 842 is 89374090.

2. How to calculate the LCM of 299, 355, 355, 842?

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 299, 355, 355, 842.

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}.