Given numbers are 757,864,258,828

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

The LCM of 757,864,258,828 is 646853472.

Find LCM of 757,864,258,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 757 x 24 x 43 x 23 = 646853472

Therefore, the lowest common multiple of 757,864,258,828 is 646853472.

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.

757 x 864 x 258 x 828 = 139720349952

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.

757 : 1, 757

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

258 : 1, 2, 3, 6, 43, 86, 129, 258

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,864,258,828, is 1.

Now, the common factors can be found like this.

757:757

864:2x 2x 2x 2x 2x 3x 3x 3

258:2x 3x 43

828:2x 2x 3x 3x 23

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 139720349952/(1x216)

LCM = 139720349952/216

LCM = 646853472

Thus, we can understand that the LCM of 757,864,258,828 is 646853472.

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

• LCM of 875, 150, 141, 205
• LCM of 141, 647, 606, 349
• LCM of 874, 906, 518, 603
• LCM of 481, 652, 832, 456
• LCM of 444, 227, 474, 121

1. What is the LCM of 757, 864, 258, 828?

Answer: LCM of 757, 864, 258, 828 is 646853472.

2. How to calculate the LCM of 757, 864, 258, 828?

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 757, 864, 258, 828.

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}.