Given numbers are 720,336,578,828

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

The LCM of 720,336,578,828 is 33500880.

Find LCM of 720,336,578,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 289 x 23 = 33500880

Therefore, the lowest common multiple of 720,336,578,828 is 33500880.

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.

720 x 336 x 578 x 828 = 115779041280

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.

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

578 : 1, 2, 17, 34, 289, 578

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,336,578,828, is 2.

Now, the common factors can be found like this.

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

336:2x 2x 2x 2x 3x 7

578:2x 17x 17

828:2x 2x 3x 3x 23

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 3 = 1728

Therefore, the value for common factors is 1728.

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 = 115779041280/(2x1728)

LCM = 115779041280/3456

LCM = 33500880

Thus, we can understand that the LCM of 720,336,578,828 is 33500880.

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

• LCM of 768, 387, 678, 812
• LCM of 527, 465, 804, 641
• LCM of 177, 689, 575, 830
• LCM of 260, 137, 935, 483
• LCM of 171, 195, 499, 531

1. What is the LCM of 720, 336, 578, 828?

Answer: LCM of 720, 336, 578, 828 is 33500880.

2. How to calculate the LCM of 720, 336, 578, 828?

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 720, 336, 578, 828.

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}.