Given numbers are 728,612,420,508,404

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

The LCM of 728,612,420,508,404 is 7143612840.

Find LCM of 728,612,420,508,404 with Prime Factorization

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

2 x 2 x 3 x 7 x 26 x 51 x 5 x 127 x 101 = 7143612840

Therefore, the lowest common multiple of 728,612,420,508,404 is 7143612840.

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.

728 x 612 x 420 x 508 x 404 = 38404062627840

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

508 : 1, 2, 4, 127, 254, 508

404 : 1, 2, 4, 101, 202, 404

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,612,420,508,404, is 4.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

612:2x 2x 3x 3x 17

420:2x 2x 3x 5x 7

508:2x 2x 127

404:2x 2x 101

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 7 = 1344

Therefore, the value for common factors is 1344.

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 = 38404062627840/(4x1344)

LCM = 38404062627840/5376

LCM = 7143612840

Thus, we can understand that the LCM of 728,612,420,508,404 is 7143612840.

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

• LCM of 909, 159, 241, 228, 269
• LCM of 537, 698, 290, 986, 155
• LCM of 923, 122, 763, 805, 272
• LCM of 485, 521, 948, 114, 449
• LCM of 335, 773, 200, 988, 877

1. What is the LCM of 728, 612, 420, 508, 404?

Answer: LCM of 728, 612, 420, 508, 404 is 7143612840.

2. How to calculate the LCM of 728, 612, 420, 508, 404?

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 728, 612, 420, 508, 404.

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}.