Given numbers are 493,204,780,402

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

The LCM of 493,204,780,402 is 25764180.

Find LCM of 493,204,780,402 with Prime Factorization

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

2 x 2 x 3 x 17 x 29 x 1 x 65 x 67 = 25764180

Therefore, the lowest common multiple of 493,204,780,402 is 25764180.

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.

493 x 204 x 780 x 402 = 31535356320

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.

493 : 1, 17, 29, 493

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,204,780,402, is 1.

Now, the common factors can be found like this.

493:17x 29

204:2x 2x 3x 17

780:2x 2x 3x 5x 13

402:2x 3x 67

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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 31535356320/(1x1224)

LCM = 31535356320/1224

LCM = 25764180

Thus, we can understand that the LCM of 493,204,780,402 is 25764180.

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

• LCM of 855, 771, 753, 292
• LCM of 541, 524, 321, 306
• LCM of 371, 670, 748, 655
• LCM of 106, 345, 980, 331
• LCM of 453, 115, 862, 917

1. What is the LCM of 493, 204, 780, 402?

Answer: LCM of 493, 204, 780, 402 is 25764180.

2. How to calculate the LCM of 493, 204, 780, 402?

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 493, 204, 780, 402.

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}.