Given numbers are 819,493,764,974

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

The LCM of 819,493,764,974 is 150228780156.

Find LCM of 819,493,764,974 with Prime Factorization

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

2 x 819 x 493 x 382 x 487 = 150228780156

Therefore, the lowest common multiple of 819,493,764,974 is 150228780156.

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.

819 x 493 x 764 x 974 = 300457560312

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

493 : 1, 17, 29, 493

764 : 1, 2, 4, 191, 382, 764

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,493,764,974, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

493:17x 29

764:2x 2x 191

974:2x 487

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

2 = 2

Therefore, the value for common factors is 2.

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 = 300457560312/(1x2)

LCM = 300457560312/2

LCM = 150228780156

Thus, we can understand that the LCM of 819,493,764,974 is 150228780156.

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

• LCM of 131, 379, 400, 391
• LCM of 480, 705, 817, 363
• LCM of 685, 945, 112, 674
• LCM of 442, 975, 507, 444
• LCM of 312, 596, 931, 172

1. What is the LCM of 819, 493, 764, 974?

Answer: LCM of 819, 493, 764, 974 is 150228780156.

2. How to calculate the LCM of 819, 493, 764, 974?

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 819, 493, 764, 974.

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}.