Given numbers are 578,553,816

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

The LCM of 578,553,816 is 7671216.

Find LCM of 578,553,816 with Prime Factorization

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

2 x 17 x 17 x 553 x 24 = 7671216

Therefore, the lowest common multiple of 578,553,816 is 7671216.

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.

578 x 553 x 816 = 260821344

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.

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

553 : 1, 7, 79, 553

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,553,816, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

553:7x 79

816:2x 2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 260821344/(1x34)

LCM = 260821344/34

LCM = 7671216

Thus, we can understand that the LCM of 578,553,816 is 7671216.

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

• LCM of 261, 894, 242
• LCM of 812, 850, 725
• LCM of 806, 500, 300
• LCM of 112, 851, 178
• LCM of 333, 400, 436

1. What is the LCM of 578, 553, 816?

Answer: LCM of 578, 553, 816 is 7671216.

2. How to calculate the LCM of 578, 553, 816?

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 578, 553, 816.

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}.