Given numbers are 780,555,460,516,632

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

The LCM of 780,555,460,516,632 is 4509721320.

Find LCM of 780,555,460,516,632 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 37 x 23 x 43 x 158 = 4509721320

Therefore, the lowest common multiple of 780,555,460,516,632 is 4509721320.

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 555 x 460 x 516 x 632 = 64939987008000

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

555 : 1, 3, 5, 15, 37, 111, 185, 555

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,555,460,516,632, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

555:3x 5x 37

460:2x 2x 5x 23

516:2x 2x 3x 43

632:2x 2x 2x 79

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 3x 5x 5 = 14400

Therefore, the value for common factors is 14400.

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 = 64939987008000/(1x14400)

LCM = 64939987008000/14400

LCM = 4509721320

Thus, we can understand that the LCM of 780,555,460,516,632 is 4509721320.

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

• LCM of 184, 645, 880, 156, 582
• LCM of 761, 654, 688, 259, 689
• LCM of 725, 635, 156, 906, 101
• LCM of 651, 444, 171, 801, 428
• LCM of 281, 416, 835, 271, 223

1. What is the LCM of 780, 555, 460, 516, 632?

Answer: LCM of 780, 555, 460, 516, 632 is 4509721320.

2. How to calculate the LCM of 780, 555, 460, 516, 632?

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, 555, 460, 516, 632.

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}.