Given numbers are 729,128,432,298

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

The LCM of 729,128,432,298 is 13903488.

Find LCM of 729,128,432,298 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 3 x 27 x 8 x 1 x 149 = 13903488

Therefore, the lowest common multiple of 729,128,432,298 is 13903488.

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 128 x 432 x 298 = 12012613632

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

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,128,432,298, is 1.

Now, the common factors can be found like this.

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

128:2x 2x 2x 2x 2x 2x 2

432:2x 2x 2x 2x 3x 3x 3

298:2x 149

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 12012613632/(1x864)

LCM = 12012613632/864

LCM = 13903488

Thus, we can understand that the LCM of 729,128,432,298 is 13903488.

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

• LCM of 381, 929, 658, 592
• LCM of 925, 807, 655, 999
• LCM of 698, 457, 430, 735
• LCM of 759, 372, 276, 975
• LCM of 277, 541, 831, 407

1. What is the LCM of 729, 128, 432, 298?

Answer: LCM of 729, 128, 432, 298 is 13903488.

2. How to calculate the LCM of 729, 128, 432, 298?

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, 128, 432, 298.

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}.