Given numbers are 849,415,144,729

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

The LCM of 849,415,144,729 is 1369878480.

Find LCM of 849,415,144,729 with Prime Factorization

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

3 x 3 x 283 x 415 x 16 x 81 = 1369878480

Therefore, the lowest common multiple of 849,415,144,729 is 1369878480.

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.

849 x 415 x 144 x 729 = 36986718960

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.

849 : 1, 3, 283, 849

415 : 1, 5, 83, 415

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,415,144,729, is 1.

Now, the common factors can be found like this.

849:3x 283

415:5x 83

144:2x 2x 2x 2x 3x 3

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

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 36986718960/(1x27)

LCM = 36986718960/27

LCM = 1369878480

Thus, we can understand that the LCM of 849,415,144,729 is 1369878480.

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

• LCM of 330, 743, 365, 947
• LCM of 380, 353, 411, 337
• LCM of 231, 510, 107, 300
• LCM of 840, 342, 399, 429
• LCM of 691, 843, 804, 210

1. What is the LCM of 849, 415, 144, 729?

Answer: LCM of 849, 415, 144, 729 is 1369878480.

2. How to calculate the LCM of 849, 415, 144, 729?

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 849, 415, 144, 729.

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}.