Given numbers are 779,360,828,720

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

The LCM of 779,360,828,720 is 12900240.

Find LCM of 779,360,828,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 779 x 1 x 23 x 2 = 12900240

Therefore, the lowest common multiple of 779,360,828,720 is 12900240.

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.

779 x 360 x 828 x 720 = 167187110400

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.

779 : 1, 19, 41, 779

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,360,828,720, is 1.

Now, the common factors can be found like this.

779:19x 41

360:2x 2x 2x 3x 3x 5

828:2x 2x 3x 3x 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 3x 3x 3x 5 = 12960

Therefore, the value for common factors is 12960.

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 = 167187110400/(1x12960)

LCM = 167187110400/12960

LCM = 12900240

Thus, we can understand that the LCM of 779,360,828,720 is 12900240.

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

• LCM of 254, 613, 966, 695
• LCM of 803, 242, 610, 810
• LCM of 380, 812, 799, 138
• LCM of 768, 294, 999, 431
• LCM of 274, 831, 109, 267

1. What is the LCM of 779, 360, 828, 720?

Answer: LCM of 779, 360, 828, 720 is 12900240.

2. How to calculate the LCM of 779, 360, 828, 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 779, 360, 828, 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}.