Given numbers are 814,386,436,872

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

The LCM of 814,386,436,872 is 68496472.

Find LCM of 814,386,436,872 with Prime Factorization

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

2 x 2 x 109 x 407 x 193 x 1 x 2 = 68496472

Therefore, the lowest common multiple of 814,386,436,872 is 68496472.

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 386 x 436 x 872 = 119457847168

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

386 : 1, 2, 193, 386

436 : 1, 2, 4, 109, 218, 436

872 : 1, 2, 4, 8, 109, 218, 436, 872

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,386,436,872, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

386:2x 193

436:2x 2x 109

872:2x 2x 2x 109

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 2x 109 = 872

Therefore, the value for common factors is 872.

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 = 119457847168/(2x872)

LCM = 119457847168/1744

LCM = 68496472

Thus, we can understand that the LCM of 814,386,436,872 is 68496472.

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

• LCM of 462, 595, 172, 912
• LCM of 163, 905, 979, 150
• LCM of 579, 913, 985, 543
• LCM of 892, 450, 468, 856
• LCM of 945, 904, 129, 387

1. What is the LCM of 814, 386, 436, 872?

Answer: LCM of 814, 386, 436, 872 is 68496472.

2. How to calculate the LCM of 814, 386, 436, 872?

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, 386, 436, 872.

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}.