Given numbers are 729,246,960,430,251

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

The LCM of 729,246,960,430,251 is 103229432640.

Find LCM of 729,246,960,430,251 with Prime Factorization

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

2 x 3 x 5 x 243 x 41 x 32 x 43 x 251 = 103229432640

Therefore, the lowest common multiple of 729,246,960,430,251 is 103229432640.

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 246 x 960 x 430 x 251 = 18581297875200

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

246 : 1, 2, 3, 6, 41, 82, 123, 246

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

430 : 1, 2, 5, 10, 43, 86, 215, 430

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,246,960,430,251, is 1.

Now, the common factors can be found like this.

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

246:2x 3x 41

960:2x 2x 2x 2x 2x 2x 3x 5

430:2x 5x 43

251:251

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 18581297875200/(1x180)

LCM = 18581297875200/180

LCM = 103229432640

Thus, we can understand that the LCM of 729,246,960,430,251 is 103229432640.

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

• LCM of 955, 647, 316, 650, 436
• LCM of 614, 707, 393, 888, 850
• LCM of 331, 652, 111, 779, 643
• LCM of 690, 357, 427, 398, 437
• LCM of 471, 858, 780, 606, 429

1. What is the LCM of 729, 246, 960, 430, 251?

Answer: LCM of 729, 246, 960, 430, 251 is 103229432640.

2. How to calculate the LCM of 729, 246, 960, 430, 251?

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, 246, 960, 430, 251.

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}.