Given numbers are 729,361,524,296

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

The LCM of 729,361,524,296 is 10204641144.

Find LCM of 729,361,524,296 with Prime Factorization

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

2 x 2 x 729 x 361 x 131 x 74 = 10204641144

Therefore, the lowest common multiple of 729,361,524,296 is 10204641144.

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.

729 x 361 x 524 x 296 = 40818564576

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.

729 : 1, 3, 9, 27, 81, 243, 729

361 : 1, 19, 361

524 : 1, 2, 4, 131, 262, 524

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,361,524,296, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

361:19x 19

524:2x 2x 131

296:2x 2x 2x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40818564576/(1x4)

LCM = 40818564576/4

LCM = 10204641144

Thus, we can understand that the LCM of 729,361,524,296 is 10204641144.

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

• LCM of 342, 533, 691, 441
• LCM of 661, 712, 848, 162
• LCM of 515, 634, 226, 307
• LCM of 225, 182, 294, 274
• LCM of 581, 480, 409, 364

1. What is the LCM of 729, 361, 524, 296?

Answer: LCM of 729, 361, 524, 296 is 10204641144.

2. How to calculate the LCM of 729, 361, 524, 296?

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 729, 361, 524, 296.

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}.