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LCM of 437, 950, 809, 926, 950

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


Find the LCM of 437, 950, 809, 926, 950 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 437, 950, 809, 926, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,950,809,926,950

Given numbers are 437,950,809,926,950

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

The LCM of 437,950,809,926,950 is 8184288950.

Find LCM of 437,950,809,926,950 with Prime Factorization


2 437, 950, 809, 926, 950
5 437, 475, 809, 463, 475
5 437, 95, 809, 463, 95
19 437, 19, 809, 463, 19
23, 1, 809, 463, 1

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

2 x 5 x 5 x 19 x 23 x 1 x 809 x 463 x 1 = 8184288950

Therefore, the lowest common multiple of 437,950,809,926,950 is 8184288950.

LCM Formula to Find Lowest Common Multiple of 437,950,809,926,950

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.

437 x 950 x 809 x 926 x 950 = 295452831095000

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.

437 : 1, 19, 23, 437

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

809 : 1, 809

926 : 1, 2, 463, 926

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,950,809,926,950, is 1.

Now, the common factors can be found like this.

437:19x 23

950:2x 5x 5x 19

809:809

926:2x 463

950:2x 5x 5x 19

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 5x 19x 19 = 36100

Therefore, the value for common factors is 36100.

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 = 295452831095000/(1x36100)

LCM = 295452831095000/36100

LCM = 8184288950

Thus, we can understand that the LCM of 437,950,809,926,950 is 8184288950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 950, 809, 926, 950

1. What is the LCM of 437, 950, 809, 926, 950?

Answer: LCM of 437, 950, 809, 926, 950 is 8184288950.

2. How to calculate the LCM of 437, 950, 809, 926, 950?

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 437, 950, 809, 926, 950.

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}.