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LCM of 365, 585, 739, 997, 318

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


Find the LCM of 365, 585, 739, 997, 318 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 365, 585, 739, 997, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,585,739,997,318

Given numbers are 365,585,739,997,318

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

The LCM of 365,585,739,997,318 is 3335217709590.

Find LCM of 365,585,739,997,318 with Prime Factorization


3 365, 585, 739, 997, 318
5 365, 195, 739, 997, 106
73, 39, 739, 997, 106

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

3 x 5 x 73 x 39 x 739 x 997 x 106 = 3335217709590

Therefore, the lowest common multiple of 365,585,739,997,318 is 3335217709590.

LCM Formula to Find Lowest Common Multiple of 365,585,739,997,318

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.

365 x 585 x 739 x 997 x 318 = 50028265643850

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.

365 : 1, 5, 73, 365

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

739 : 1, 739

997 : 1, 997

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,585,739,997,318, is 1.

Now, the common factors can be found like this.

365:5x 73

585:3x 3x 5x 13

739:739

997:997

318:2x 3x 53

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 50028265643850/(1x15)

LCM = 50028265643850/15

LCM = 3335217709590

Thus, we can understand that the LCM of 365,585,739,997,318 is 3335217709590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 585, 739, 997, 318

1. What is the LCM of 365, 585, 739, 997, 318?

Answer: LCM of 365, 585, 739, 997, 318 is 3335217709590.

2. How to calculate the LCM of 365, 585, 739, 997, 318?

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 365, 585, 739, 997, 318.

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}.