Given numbers are 405,961,508,745

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

The LCM of 405,961,508,745 is 29459704860.

Find LCM of 405,961,508,745 with Prime Factorization

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

5 x 81 x 961 x 508 x 149 = 29459704860

Therefore, the lowest common multiple of 405,961,508,745 is 29459704860.

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.

405 x 961 x 508 x 745 = 147298524300

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

961 : 1, 31, 961

508 : 1, 2, 4, 127, 254, 508

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,961,508,745, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

961:31x 31

508:2x 2x 127

745:5x 149

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

5 = 5

Therefore, the value for common factors is 5.

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 = 147298524300/(1x5)

LCM = 147298524300/5

LCM = 29459704860

Thus, we can understand that the LCM of 405,961,508,745 is 29459704860.

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

• LCM of 995, 628, 555, 617
• LCM of 418, 252, 609, 175
• LCM of 329, 425, 408, 529
• LCM of 685, 257, 651, 304
• LCM of 424, 789, 442, 443

1. What is the LCM of 405, 961, 508, 745?

Answer: LCM of 405, 961, 508, 745 is 29459704860.

2. How to calculate the LCM of 405, 961, 508, 745?

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 405, 961, 508, 745.

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}.