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LCM of 800, 817, 319, 770

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


Find the LCM of 800, 817, 319, 770 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 800, 817, 319, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 800,817,319,770

Given numbers are 800,817,319,770

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

The LCM of 800,817,319,770 is 1459488800.

Find LCM of 800,817,319,770 with Prime Factorization


2 800, 817, 319, 770
5 400, 817, 319, 385
11 80, 817, 319, 77
80, 817, 29, 7

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

2 x 5 x 11 x 80 x 817 x 29 x 7 = 1459488800

Therefore, the lowest common multiple of 800,817,319,770 is 1459488800.

LCM Formula to Find Lowest Common Multiple of 800,817,319,770

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.

800 x 817 x 319 x 770 = 160543768000

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

817 : 1, 19, 43, 817

319 : 1, 11, 29, 319

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,817,319,770, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

817:19x 43

319:11x 29

770:2x 5x 7x 11

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 160543768000/(1x110)

LCM = 160543768000/110

LCM = 1459488800

Thus, we can understand that the LCM of 800,817,319,770 is 1459488800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 800, 817, 319, 770

1. What is the LCM of 800, 817, 319, 770?

Answer: LCM of 800, 817, 319, 770 is 1459488800.

2. How to calculate the LCM of 800, 817, 319, 770?

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 800, 817, 319, 770.

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}.