Given numbers are 269,729,736,299,331

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

The LCM of 269,729,736,299,331 is 621053435808.

Find LCM of 269,729,736,299,331 with Prime Factorization

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

23 x 269 x 729 x 32 x 13 x 331 = 621053435808

Therefore, the lowest common multiple of 269,729,736,299,331 is 621053435808.

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.

269 x 729 x 736 x 299 x 331 = 14284229023584

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.

269 : 1, 269

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

299 : 1, 13, 23, 299

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,729,736,299,331, is 1.

Now, the common factors can be found like this.

269:269

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

736:2x 2x 2x 2x 2x 23

299:13x 23

331:331

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

23 = 23

Therefore, the value for common factors is 23.

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 = 14284229023584/(1x23)

LCM = 14284229023584/23

LCM = 621053435808

Thus, we can understand that the LCM of 269,729,736,299,331 is 621053435808.

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

• LCM of 751, 270, 651, 993, 973
• LCM of 627, 558, 937, 278, 901
• LCM of 472, 189, 850, 940, 167
• LCM of 613, 792, 755, 397, 866
• LCM of 588, 551, 586, 154, 729

1. What is the LCM of 269, 729, 736, 299, 331?

Answer: LCM of 269, 729, 736, 299, 331 is 621053435808.

2. How to calculate the LCM of 269, 729, 736, 299, 331?

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 269, 729, 736, 299, 331.

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}.