Given numbers are 780,782,545,257

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

The LCM of 780,782,545,257 is 8543404740.

Find LCM of 780,782,545,257 with Prime Factorization

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

2 x 5 x 78 x 391 x 109 x 257 = 8543404740

Therefore, the lowest common multiple of 780,782,545,257 is 8543404740.

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 782 x 545 x 257 = 85434047400

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

545 : 1, 5, 109, 545

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,782,545,257, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

782:2x 17x 23

545:5x 109

257:257

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 85434047400/(1x10)

LCM = 85434047400/10

LCM = 8543404740

Thus, we can understand that the LCM of 780,782,545,257 is 8543404740.

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

• LCM of 502, 745, 142, 726
• LCM of 132, 420, 551, 294
• LCM of 713, 686, 765, 838
• LCM of 108, 671, 517, 984
• LCM of 109, 348, 173, 612

1. What is the LCM of 780, 782, 545, 257?

Answer: LCM of 780, 782, 545, 257 is 8543404740.

2. How to calculate the LCM of 780, 782, 545, 257?

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, 782, 545, 257.

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}.