Given numbers are 771,478,407,460

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

The LCM of 771,478,407,460 is 34498842180.

Find LCM of 771,478,407,460 with Prime Factorization

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

2 x 771 x 239 x 407 x 230 = 34498842180

Therefore, the lowest common multiple of 771,478,407,460 is 34498842180.

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.

771 x 478 x 407 x 460 = 68997684360

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.

771 : 1, 3, 257, 771

478 : 1, 2, 239, 478

407 : 1, 11, 37, 407

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,478,407,460, is 1.

Now, the common factors can be found like this.

771:3x 257

478:2x 239

407:11x 37

460:2x 2x 5x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 68997684360/(1x2)

LCM = 68997684360/2

LCM = 34498842180

Thus, we can understand that the LCM of 771,478,407,460 is 34498842180.

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

• LCM of 919, 435, 482, 355
• LCM of 677, 536, 412, 728
• LCM of 541, 249, 825, 155
• LCM of 297, 886, 959, 425
• LCM of 663, 159, 587, 335

1. What is the LCM of 771, 478, 407, 460?

Answer: LCM of 771, 478, 407, 460 is 34498842180.

2. How to calculate the LCM of 771, 478, 407, 460?

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 771, 478, 407, 460.

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}.