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LCM of 383, 766, 782, 493, 805

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


Find the LCM of 383, 766, 782, 493, 805 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 383, 766, 782, 493, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,766,782,493,805

Given numbers are 383,766,782,493,805

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

The LCM of 383,766,782,493,805 is 303998590.

Find LCM of 383,766,782,493,805 with Prime Factorization


2 383, 766, 782, 493, 805
17 383, 383, 391, 493, 805
23 383, 383, 23, 29, 805
383 383, 383, 1, 29, 35
1, 1, 1, 29, 35

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

2 x 17 x 23 x 383 x 1 x 1 x 1 x 29 x 35 = 303998590

Therefore, the lowest common multiple of 383,766,782,493,805 is 303998590.

LCM Formula to Find Lowest Common Multiple of 383,766,782,493,805

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.

383 x 766 x 782 x 493 x 805 = 91049401696540

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.

383 : 1, 383

766 : 1, 2, 383, 766

782 : 1, 2, 17, 23, 34, 46, 391, 782

493 : 1, 17, 29, 493

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,766,782,493,805, is 1.

Now, the common factors can be found like this.

383:383

766:2x 383

782:2x 17x 23

493:17x 29

805:5x 7x 23

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

2x 17x 23x 383 = 299506

Therefore, the value for common factors is 299506.

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 = 91049401696540/(1x299506)

LCM = 91049401696540/299506

LCM = 303998590

Thus, we can understand that the LCM of 383,766,782,493,805 is 303998590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 766, 782, 493, 805

1. What is the LCM of 383, 766, 782, 493, 805?

Answer: LCM of 383, 766, 782, 493, 805 is 303998590.

2. How to calculate the LCM of 383, 766, 782, 493, 805?

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 383, 766, 782, 493, 805.

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}.