Given numbers are 780,353,438,264,582

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

The LCM of 780,353,438,264,582 is 42893015880.

Find LCM of 780,353,438,264,582 with Prime Factorization

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

2 x 2 x 3 x 65 x 353 x 73 x 22 x 97 = 42893015880

Therefore, the lowest common multiple of 780,353,438,264,582 is 42893015880.

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.

780 x 353 x 438 x 264 x 582 = 18529782860160

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.

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

353 : 1, 353

438 : 1, 2, 3, 6, 73, 146, 219, 438

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,353,438,264,582, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

353:353

438:2x 3x 73

264:2x 2x 2x 3x 11

582:2x 3x 97

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 18529782860160/(1x432)

LCM = 18529782860160/432

LCM = 42893015880

Thus, we can understand that the LCM of 780,353,438,264,582 is 42893015880.

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

• LCM of 267, 771, 856, 729, 855
• LCM of 421, 897, 769, 997, 378
• LCM of 875, 836, 270, 407, 255
• LCM of 656, 298, 954, 524, 140
• LCM of 158, 996, 249, 681, 628

1. What is the LCM of 780, 353, 438, 264, 582?

Answer: LCM of 780, 353, 438, 264, 582 is 42893015880.

2. How to calculate the LCM of 780, 353, 438, 264, 582?

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 780, 353, 438, 264, 582.

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}.