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LCM of 809, 700, 665, 853, 716

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


Find the LCM of 809, 700, 665, 853, 716 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 809, 700, 665, 853, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,700,665,853,716

Given numbers are 809,700,665,853,716

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

The LCM of 809,700,665,853,716 is 1642866313900.

Find LCM of 809,700,665,853,716 with Prime Factorization


2 809, 700, 665, 853, 716
2 809, 350, 665, 853, 358
5 809, 175, 665, 853, 179
7 809, 35, 133, 853, 179
809, 5, 19, 853, 179

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

2 x 2 x 5 x 7 x 809 x 5 x 19 x 853 x 179 = 1642866313900

Therefore, the lowest common multiple of 809,700,665,853,716 is 1642866313900.

LCM Formula to Find Lowest Common Multiple of 809,700,665,853,716

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.

809 x 700 x 665 x 853 x 716 = 230001283946000

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.

809 : 1, 809

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

665 : 1, 5, 7, 19, 35, 95, 133, 665

853 : 1, 853

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,700,665,853,716, is 1.

Now, the common factors can be found like this.

809:809

700:2x 2x 5x 5x 7

665:5x 7x 19

853:853

716:2x 2x 179

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

2x 2x 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 230001283946000/(1x140)

LCM = 230001283946000/140

LCM = 1642866313900

Thus, we can understand that the LCM of 809,700,665,853,716 is 1642866313900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 700, 665, 853, 716

1. What is the LCM of 809, 700, 665, 853, 716?

Answer: LCM of 809, 700, 665, 853, 716 is 1642866313900.

2. How to calculate the LCM of 809, 700, 665, 853, 716?

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 809, 700, 665, 853, 716.

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}.