Given numbers are 780,734,920,720

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

The LCM of 780,734,920,720 is 79007760.

Find LCM of 780,734,920,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 367 x 23 x 6 = 79007760

Therefore, the lowest common multiple of 780,734,920,720 is 79007760.

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 734 x 920 x 720 = 379237248000

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

734 : 1, 2, 367, 734

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,734,920,720, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

734:2x 367

920:2x 2x 2x 5x 23

720:2x 2x 2x 2x 3x 3x 5

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 379237248000/(2x2400)

LCM = 379237248000/4800

LCM = 79007760

Thus, we can understand that the LCM of 780,734,920,720 is 79007760.

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

• LCM of 216, 162, 746, 229
• LCM of 862, 110, 897, 958
• LCM of 431, 357, 756, 370
• LCM of 420, 675, 630, 810
• LCM of 895, 815, 508, 694

1. What is the LCM of 780, 734, 920, 720?

Answer: LCM of 780, 734, 920, 720 is 79007760.

2. How to calculate the LCM of 780, 734, 920, 720?

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, 734, 920, 720.

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}.