Given numbers are 460,701,758,977,712

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

The LCM of 460,701,758,977,712 is 21253459200040.

Find LCM of 460,701,758,977,712 with Prime Factorization

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

2 x 2 x 115 x 701 x 379 x 977 x 178 = 21253459200040

Therefore, the lowest common multiple of 460,701,758,977,712 is 21253459200040.

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.

460 x 701 x 758 x 977 x 712 = 170027673600320

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.

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

701 : 1, 701

758 : 1, 2, 379, 758

977 : 1, 977

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,701,758,977,712, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

701:701

758:2x 379

977:977

712:2x 2x 2x 89

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 170027673600320/(1x8)

LCM = 170027673600320/8

LCM = 21253459200040

Thus, we can understand that the LCM of 460,701,758,977,712 is 21253459200040.

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

• LCM of 896, 238, 128, 300, 569
• LCM of 766, 527, 520, 440, 522
• LCM of 428, 911, 230, 932, 496
• LCM of 179, 991, 383, 255, 429
• LCM of 980, 428, 998, 618, 656

1. What is the LCM of 460, 701, 758, 977, 712?

Answer: LCM of 460, 701, 758, 977, 712 is 21253459200040.

2. How to calculate the LCM of 460, 701, 758, 977, 712?

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 460, 701, 758, 977, 712.

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}.