Given numbers are 728,912,742,913

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

The LCM of 728,912,742,913 is 4015899888.

Find LCM of 728,912,742,913 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 114 x 53 x 913 = 4015899888

Therefore, the lowest common multiple of 728,912,742,913 is 4015899888.

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 912 x 742 x 913 = 449780787456

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

742 : 1, 2, 7, 14, 53, 106, 371, 742

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,912,742,913, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

912:2x 2x 2x 2x 3x 19

742:2x 7x 53

913:11x 83

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 7 = 112

Therefore, the value for common factors is 112.

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 = 449780787456/(1x112)

LCM = 449780787456/112

LCM = 4015899888

Thus, we can understand that the LCM of 728,912,742,913 is 4015899888.

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

• LCM of 497, 283, 500, 381
• LCM of 942, 276, 938, 377
• LCM of 999, 926, 605, 329
• LCM of 927, 653, 895, 467
• LCM of 336, 329, 574, 470

1. What is the LCM of 728, 912, 742, 913?

Answer: LCM of 728, 912, 742, 913 is 4015899888.

2. How to calculate the LCM of 728, 912, 742, 913?

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, 912, 742, 913.

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}.