Given numbers are 364,204,806,371,553

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

The LCM of 364,204,806,371,553 is 2409551508.

Find LCM of 364,204,806,371,553 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 51 x 31 x 53 x 79 = 2409551508

Therefore, the lowest common multiple of 364,204,806,371,553 is 2409551508.

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.

364 x 204 x 806 x 371 x 553 = 12279074484768

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

806 : 1, 2, 13, 26, 31, 62, 403, 806

371 : 1, 7, 53, 371

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,204,806,371,553, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

204:2x 2x 3x 17

806:2x 13x 31

371:7x 53

553:7x 79

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 7x 7x 13 = 5096

Therefore, the value for common factors is 5096.

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 = 12279074484768/(1x5096)

LCM = 12279074484768/5096

LCM = 2409551508

Thus, we can understand that the LCM of 364,204,806,371,553 is 2409551508.

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

• LCM of 907, 425, 583, 448, 106
• LCM of 795, 520, 726, 240, 308
• LCM of 179, 853, 613, 271, 994
• LCM of 265, 894, 349, 512, 196
• LCM of 945, 934, 795, 827, 943

1. What is the LCM of 364, 204, 806, 371, 553?

Answer: LCM of 364, 204, 806, 371, 553 is 2409551508.

2. How to calculate the LCM of 364, 204, 806, 371, 553?

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 364, 204, 806, 371, 553.

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}.