Given numbers are 261,239,754,464

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

The LCM of 261,239,754,464 is 12974832.

Find LCM of 261,239,754,464 with Prime Factorization

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

2 x 29 x 9 x 239 x 13 x 8 = 12974832

Therefore, the lowest common multiple of 261,239,754,464 is 12974832.

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.

261 x 239 x 754 x 464 = 21823667424

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.

261 : 1, 3, 9, 29, 87, 261

239 : 1, 239

754 : 1, 2, 13, 26, 29, 58, 377, 754

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,239,754,464, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

239:239

754:2x 13x 29

464:2x 2x 2x 2x 29

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

2x 29x 29 = 1682

Therefore, the value for common factors is 1682.

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 = 21823667424/(1x1682)

LCM = 21823667424/1682

LCM = 12974832

Thus, we can understand that the LCM of 261,239,754,464 is 12974832.

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

• LCM of 129, 740, 294, 334
• LCM of 236, 345, 630, 995
• LCM of 433, 648, 506, 966
• LCM of 400, 583, 388, 823
• LCM of 600, 769, 130, 535

1. What is the LCM of 261, 239, 754, 464?

Answer: LCM of 261, 239, 754, 464 is 12974832.

2. How to calculate the LCM of 261, 239, 754, 464?

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 261, 239, 754, 464.

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}.