Given numbers are 464,214,728,795

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

The LCM of 464,214,728,795 is 3591784560.

Find LCM of 464,214,728,795 with Prime Factorization

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

2 x 2 x 2 x 58 x 107 x 91 x 795 = 3591784560

Therefore, the lowest common multiple of 464,214,728,795 is 3591784560.

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.

464 x 214 x 728 x 795 = 57468552960

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.

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

214 : 1, 2, 107, 214

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,214,728,795, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

214:2x 107

728:2x 2x 2x 7x 13

795:3x 5x 53

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 57468552960/(1x16)

LCM = 57468552960/16

LCM = 3591784560

Thus, we can understand that the LCM of 464,214,728,795 is 3591784560.

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

• LCM of 954, 633, 850, 465
• LCM of 730, 466, 426, 594
• LCM of 292, 496, 339, 264
• LCM of 907, 250, 776, 783
• LCM of 915, 978, 535, 513

1. What is the LCM of 464, 214, 728, 795?

Answer: LCM of 464, 214, 728, 795 is 3591784560.

2. How to calculate the LCM of 464, 214, 728, 795?

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 464, 214, 728, 795.

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}.