Given numbers are 594,258,420,745,728

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

The LCM of 594,258,420,745,728 is 6926479560.

Find LCM of 594,258,420,745,728 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 99 x 43 x 1 x 149 x 26 = 6926479560

Therefore, the lowest common multiple of 594,258,420,745,728 is 6926479560.

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.

594 x 258 x 420 x 745 x 728 = 34909456982400

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.

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

745 : 1, 5, 149, 745

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,258,420,745,728, is 1.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

258:2x 3x 43

420:2x 2x 3x 5x 7

745:5x 149

728:2x 2x 2x 7x 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 3x 3x 5x 7 = 5040

Therefore, the value for common factors is 5040.

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 = 34909456982400/(1x5040)

LCM = 34909456982400/5040

LCM = 6926479560

Thus, we can understand that the LCM of 594,258,420,745,728 is 6926479560.

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

• LCM of 630, 933, 565, 997, 104
• LCM of 651, 232, 267, 771, 615
• LCM of 262, 738, 371, 703, 428
• LCM of 444, 450, 602, 645, 345
• LCM of 406, 308, 116, 974, 744

1. What is the LCM of 594, 258, 420, 745, 728?

Answer: LCM of 594, 258, 420, 745, 728 is 6926479560.

2. How to calculate the LCM of 594, 258, 420, 745, 728?

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 594, 258, 420, 745, 728.

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}.