Given numbers are 578,312,408,976

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

The LCM of 578,312,408,976 is 11000496.

Find LCM of 578,312,408,976 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 13 x 17 x 122 = 11000496

Therefore, the lowest common multiple of 578,312,408,976 is 11000496.

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 312 x 408 x 976 = 71811237888

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,312,408,976, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

312:2x 2x 2x 3x 13

408:2x 2x 2x 3x 17

976:2x 2x 2x 2x 61

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 17 = 3264

Therefore, the value for common factors is 3264.

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 = 71811237888/(2x3264)

LCM = 71811237888/6528

LCM = 11000496

Thus, we can understand that the LCM of 578,312,408,976 is 11000496.

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

• LCM of 463, 141, 908, 822
• LCM of 144, 749, 890, 290
• LCM of 188, 748, 744, 436
• LCM of 887, 688, 778, 879
• LCM of 743, 807, 924, 854

1. What is the LCM of 578, 312, 408, 976?

Answer: LCM of 578, 312, 408, 976 is 11000496.

2. How to calculate the LCM of 578, 312, 408, 976?

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, 312, 408, 976.

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}.