Given numbers are 814,761,413,902

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

The LCM of 814,761,413,902 is 10489214582.

Find LCM of 814,761,413,902 with Prime Factorization

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

2 x 11 x 37 x 761 x 413 x 41 = 10489214582

Therefore, the lowest common multiple of 814,761,413,902 is 10489214582.

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.

814 x 761 x 413 x 902 = 230762720804

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

761 : 1, 761

413 : 1, 7, 59, 413

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,761,413,902, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

761:761

413:7x 59

902:2x 11x 41

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 230762720804/(1x22)

LCM = 230762720804/22

LCM = 10489214582

Thus, we can understand that the LCM of 814,761,413,902 is 10489214582.

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

• LCM of 383, 818, 433, 781
• LCM of 360, 764, 721, 162
• LCM of 796, 132, 898, 559
• LCM of 508, 870, 162, 144
• LCM of 470, 457, 876, 410

1. What is the LCM of 814, 761, 413, 902?

Answer: LCM of 814, 761, 413, 902 is 10489214582.

2. How to calculate the LCM of 814, 761, 413, 902?

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 814, 761, 413, 902.

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}.