Given numbers are 746,686,914,464

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

The LCM of 746,686,914,464 is 27129209072.

Find LCM of 746,686,914,464 with Prime Factorization

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

2 x 373 x 343 x 457 x 232 = 27129209072

Therefore, the lowest common multiple of 746,686,914,464 is 27129209072.

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.

746 x 686 x 914 x 464 = 217033672576

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.

746 : 1, 2, 373, 746

686 : 1, 2, 7, 14, 49, 98, 343, 686

914 : 1, 2, 457, 914

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,686,914,464, is 2.

Now, the common factors can be found like this.

746:2x 373

686:2x 7x 7x 7

914:2x 457

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 2 = 4

Therefore, the value for common factors is 4.

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 = 217033672576/(2x4)

LCM = 217033672576/8

LCM = 27129209072

Thus, we can understand that the LCM of 746,686,914,464 is 27129209072.

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

• LCM of 377, 876, 874, 944
• LCM of 998, 763, 988, 164
• LCM of 966, 191, 590, 684
• LCM of 498, 996, 157, 370
• LCM of 371, 526, 102, 299

1. What is the LCM of 746, 686, 914, 464?

Answer: LCM of 746, 686, 914, 464 is 27129209072.

2. How to calculate the LCM of 746, 686, 914, 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 746, 686, 914, 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}.