Given numbers are 728,206,737,594,110

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

The LCM of 728,206,737,594,110 is 7460533080.

Find LCM of 728,206,737,594,110 with Prime Factorization

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

2 x 11 x 364 x 103 x 67 x 27 x 5 = 7460533080

Therefore, the lowest common multiple of 728,206,737,594,110 is 7460533080.

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 206 x 737 x 594 x 110 = 7221796021440

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

206 : 1, 2, 103, 206

737 : 1, 11, 67, 737

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,206,737,594,110, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

206:2x 103

737:11x 67

594:2x 3x 3x 3x 11

110:2x 5x 11

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 7221796021440/(1x968)

LCM = 7221796021440/968

LCM = 7460533080

Thus, we can understand that the LCM of 728,206,737,594,110 is 7460533080.

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

• LCM of 297, 145, 728, 154, 690
• LCM of 280, 195, 393, 484, 803
• LCM of 501, 335, 743, 340, 531
• LCM of 766, 633, 696, 717, 270
• LCM of 534, 751, 808, 933, 367

1. What is the LCM of 728, 206, 737, 594, 110?

Answer: LCM of 728, 206, 737, 594, 110 is 7460533080.

2. How to calculate the LCM of 728, 206, 737, 594, 110?

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, 206, 737, 594, 110.

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}.