Given numbers are 574,730,728,105,745

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

The LCM of 574,730,728,105,745 is 4869850440.

Find LCM of 574,730,728,105,745 with Prime Factorization

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

2 x 5 x 7 x 41 x 73 x 52 x 3 x 149 = 4869850440

Therefore, the lowest common multiple of 574,730,728,105,745 is 4869850440.

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.

574 x 730 x 728 x 105 x 745 = 23862267156000

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,730,728,105,745, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

730:2x 5x 73

728:2x 2x 2x 7x 13

105:3x 5x 7

745:5x 149

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 5x 5x 7x 7 = 4900

Therefore, the value for common factors is 4900.

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 = 23862267156000/(1x4900)

LCM = 23862267156000/4900

LCM = 4869850440

Thus, we can understand that the LCM of 574,730,728,105,745 is 4869850440.

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

• LCM of 399, 138, 372, 555, 580
• LCM of 237, 338, 778, 298, 311
• LCM of 683, 151, 188, 679, 136
• LCM of 469, 886, 976, 633, 222
• LCM of 263, 205, 375, 273, 903

1. What is the LCM of 574, 730, 728, 105, 745?

Answer: LCM of 574, 730, 728, 105, 745 is 4869850440.

2. How to calculate the LCM of 574, 730, 728, 105, 745?

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 574, 730, 728, 105, 745.

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}.