Given numbers are 729,258,604,561

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

The LCM of 729,258,604,561 is 3540580956.

Find LCM of 729,258,604,561 with Prime Factorization

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

2 x 3 x 243 x 43 x 302 x 187 = 3540580956

Therefore, the lowest common multiple of 729,258,604,561 is 3540580956.

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 258 x 604 x 561 = 63730457208

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

604 : 1, 2, 4, 151, 302, 604

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,258,604,561, is 1.

Now, the common factors can be found like this.

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

258:2x 3x 43

604:2x 2x 151

561:3x 11x 17

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 63730457208/(1x18)

LCM = 63730457208/18

LCM = 3540580956

Thus, we can understand that the LCM of 729,258,604,561 is 3540580956.

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

• LCM of 832, 784, 688, 895
• LCM of 303, 770, 584, 100
• LCM of 399, 589, 609, 111
• LCM of 215, 474, 975, 250
• LCM of 447, 992, 730, 360

1. What is the LCM of 729, 258, 604, 561?

Answer: LCM of 729, 258, 604, 561 is 3540580956.

2. How to calculate the LCM of 729, 258, 604, 561?

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, 258, 604, 561.

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}.