Given numbers are 256,704,193,304,372

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

The LCM of 256,704,193,304,372 is 960343296.

Find LCM of 256,704,193,304,372 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 4 x 11 x 193 x 19 x 93 = 960343296

Therefore, the lowest common multiple of 256,704,193,304,372 is 960343296.

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.

256 x 704 x 193 x 304 x 372 = 3933566140416

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

193 : 1, 193

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,704,193,304,372, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

704:2x 2x 2x 2x 2x 2x 11

193:193

304:2x 2x 2x 2x 19

372:2x 2x 3x 31

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 2x 2x 2x 2x 2x 2 = 4096

Therefore, the value for common factors is 4096.

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 = 3933566140416/(1x4096)

LCM = 3933566140416/4096

LCM = 960343296

Thus, we can understand that the LCM of 256,704,193,304,372 is 960343296.

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

• LCM of 185, 992, 593, 273, 759
• LCM of 281, 686, 425, 223, 959
• LCM of 790, 482, 801, 972, 143
• LCM of 333, 221, 660, 958, 651
• LCM of 864, 436, 297, 204, 746

1. What is the LCM of 256, 704, 193, 304, 372?

Answer: LCM of 256, 704, 193, 304, 372 is 960343296.

2. How to calculate the LCM of 256, 704, 193, 304, 372?

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 256, 704, 193, 304, 372.

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}.