Given numbers are 809,214,535,552

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

The LCM of 809,214,535,552 is 238913880.

Find LCM of 809,214,535,552 with Prime Factorization

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

2 x 107 x 809 x 1 x 5 x 276 = 238913880

Therefore, the lowest common multiple of 809,214,535,552 is 238913880.

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 214 x 535 x 552 = 51127570320

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

214 : 1, 2, 107, 214

535 : 1, 5, 107, 535

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,214,535,552, is 1.

Now, the common factors can be found like this.

809:809

214:2x 107

535:5x 107

552:2x 2x 2x 3x 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 107 = 214

Therefore, the value for common factors is 214.

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 = 51127570320/(1x214)

LCM = 51127570320/214

LCM = 238913880

Thus, we can understand that the LCM of 809,214,535,552 is 238913880.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 872, 833, 662, 707
• LCM of 171, 771, 101, 657
• LCM of 673, 592, 370, 353
• LCM of 792, 667, 925, 422
• LCM of 198, 808, 789, 902

1. What is the LCM of 809, 214, 535, 552?

Answer: LCM of 809, 214, 535, 552 is 238913880.

2. How to calculate the LCM of 809, 214, 535, 552?

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, 214, 535, 552.

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}.