Given numbers are 764,204,536,748,330

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

The LCM of 764,204,536,748,330 is 287164680.

Find LCM of 764,204,536,748,330 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 191 x 1 x 134 x 1 x 5 = 287164680

Therefore, the lowest common multiple of 764,204,536,748,330 is 287164680.

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.

764 x 204 x 536 x 748 x 330 = 20620721341440

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.

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

536 : 1, 2, 4, 8, 67, 134, 268, 536

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,204,536,748,330, is 2.

Now, the common factors can be found like this.

764:2x 2x 191

204:2x 2x 3x 17

536:2x 2x 2x 67

748:2x 2x 11x 17

330:2x 3x 5x 11

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 2x 2x 2x 3x 11x 17 = 35904

Therefore, the value for common factors is 35904.

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 = 20620721341440/(2x35904)

LCM = 20620721341440/71808

LCM = 287164680

Thus, we can understand that the LCM of 764,204,536,748,330 is 287164680.

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

• LCM of 197, 663, 157, 555, 574
• LCM of 642, 422, 310, 443, 771
• LCM of 978, 711, 820, 730, 883
• LCM of 918, 143, 175, 742, 576
• LCM of 413, 494, 713, 303, 124

1. What is the LCM of 764, 204, 536, 748, 330?

Answer: LCM of 764, 204, 536, 748, 330 is 287164680.

2. How to calculate the LCM of 764, 204, 536, 748, 330?

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 764, 204, 536, 748, 330.

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}.