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LCM of 866, 796, 879, 471, 509

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


Find the LCM of 866, 796, 879, 471, 509 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 866, 796, 879, 471, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 866,796,879,471,509

Given numbers are 866,796,879,471,509

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

The LCM of 866,796,879,471,509 is 24210695964036.

Find LCM of 866,796,879,471,509 with Prime Factorization


2 866, 796, 879, 471, 509
3 433, 398, 879, 471, 509
433, 398, 293, 157, 509

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

2 x 3 x 433 x 398 x 293 x 157 x 509 = 24210695964036

Therefore, the lowest common multiple of 866,796,879,471,509 is 24210695964036.

LCM Formula to Find Lowest Common Multiple of 866,796,879,471,509

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.

866 x 796 x 879 x 471 x 509 = 145264175784216

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.

866 : 1, 2, 433, 866

796 : 1, 2, 4, 199, 398, 796

879 : 1, 3, 293, 879

471 : 1, 3, 157, 471

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,796,879,471,509, is 1.

Now, the common factors can be found like this.

866:2x 433

796:2x 2x 199

879:3x 293

471:3x 157

509:509

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 145264175784216/(1x6)

LCM = 145264175784216/6

LCM = 24210695964036

Thus, we can understand that the LCM of 866,796,879,471,509 is 24210695964036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 866, 796, 879, 471, 509

1. What is the LCM of 866, 796, 879, 471, 509?

Answer: LCM of 866, 796, 879, 471, 509 is 24210695964036.

2. How to calculate the LCM of 866, 796, 879, 471, 509?

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 866, 796, 879, 471, 509.

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}.