Given numbers are 296,348,612,553,780

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

The LCM of 296,348,612,553,780 is 47208437640.

Find LCM of 296,348,612,553,780 with Prime Factorization

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

2 x 2 x 3 x 74 x 29 x 51 x 553 x 65 = 47208437640

Therefore, the lowest common multiple of 296,348,612,553,780 is 47208437640.

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.

296 x 348 x 612 x 553 x 780 = 27192060080640

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

553 : 1, 7, 79, 553

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,348,612,553,780, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

348:2x 2x 3x 29

612:2x 2x 3x 3x 17

553:7x 79

780:2x 2x 3x 5x 13

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 3 = 576

Therefore, the value for common factors is 576.

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 = 27192060080640/(1x576)

LCM = 27192060080640/576

LCM = 47208437640

Thus, we can understand that the LCM of 296,348,612,553,780 is 47208437640.

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

• LCM of 219, 834, 860, 509, 855
• LCM of 555, 195, 136, 472, 110
• LCM of 160, 289, 657, 304, 938
• LCM of 235, 429, 285, 539, 389
• LCM of 223, 181, 177, 792, 525

1. What is the LCM of 296, 348, 612, 553, 780?

Answer: LCM of 296, 348, 612, 553, 780 is 47208437640.

2. How to calculate the LCM of 296, 348, 612, 553, 780?

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 296, 348, 612, 553, 780.

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}.