Given numbers are 261,493,667,872

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

The LCM of 261,493,667,872 is 88988472.

Find LCM of 261,493,667,872 with Prime Factorization

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

29 x 9 x 17 x 23 x 872 = 88988472

Therefore, the lowest common multiple of 261,493,667,872 is 88988472.

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 493 x 667 x 872 = 74839304952

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

493 : 1, 17, 29, 493

667 : 1, 23, 29, 667

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,493,667,872, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

493:17x 29

667:23x 29

872:2x 2x 2x 109

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

29x 29 = 841

Therefore, the value for common factors is 841.

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 = 74839304952/(1x841)

LCM = 74839304952/841

LCM = 88988472

Thus, we can understand that the LCM of 261,493,667,872 is 88988472.

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

• LCM of 605, 377, 374, 538
• LCM of 127, 705, 522, 789
• LCM of 957, 134, 985, 677
• LCM of 739, 663, 622, 833
• LCM of 619, 891, 534, 375

1. What is the LCM of 261, 493, 667, 872?

Answer: LCM of 261, 493, 667, 872 is 88988472.

2. How to calculate the LCM of 261, 493, 667, 872?

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, 493, 667, 872.

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}.