Given numbers are 780,556,450,465,747

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

The LCM of 780,556,450,465,747 is 4184469900.

Find LCM of 780,556,450,465,747 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 139 x 5 x 31 x 83 = 4184469900

Therefore, the lowest common multiple of 780,556,450,465,747 is 4184469900.

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 556 x 450 x 465 x 747 = 67788412380000

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

556 : 1, 2, 4, 139, 278, 556

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

465 : 1, 3, 5, 15, 31, 93, 155, 465

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,556,450,465,747, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

556:2x 2x 139

450:2x 3x 3x 5x 5

465:3x 5x 31

747:3x 3x 83

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 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 67788412380000/(1x16200)

LCM = 67788412380000/16200

LCM = 4184469900

Thus, we can understand that the LCM of 780,556,450,465,747 is 4184469900.

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

• LCM of 293, 733, 635, 862, 927
• LCM of 737, 787, 906, 434, 798
• LCM of 268, 766, 367, 670, 601
• LCM of 261, 468, 565, 982, 417
• LCM of 283, 672, 930, 803, 251

1. What is the LCM of 780, 556, 450, 465, 747?

Answer: LCM of 780, 556, 450, 465, 747 is 4184469900.

2. How to calculate the LCM of 780, 556, 450, 465, 747?

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, 556, 450, 465, 747.

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}.