Given numbers are 864,461,752,402

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

The LCM of 864,461,752,402 is 1254259296.

Find LCM of 864,461,752,402 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 18 x 461 x 47 x 67 = 1254259296

Therefore, the lowest common multiple of 864,461,752,402 is 1254259296.

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.

864 x 461 x 752 x 402 = 120408892416

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.

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

461 : 1, 461

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,461,752,402, is 1.

Now, the common factors can be found like this.

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

461:461

752:2x 2x 2x 2x 47

402:2x 3x 67

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 120408892416/(1x96)

LCM = 120408892416/96

LCM = 1254259296

Thus, we can understand that the LCM of 864,461,752,402 is 1254259296.

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

• LCM of 720, 800, 414, 217
• LCM of 144, 974, 357, 239
• LCM of 194, 696, 681, 857
• LCM of 136, 979, 664, 249
• LCM of 356, 933, 599, 910

1. What is the LCM of 864, 461, 752, 402?

Answer: LCM of 864, 461, 752, 402 is 1254259296.

2. How to calculate the LCM of 864, 461, 752, 402?

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 864, 461, 752, 402.

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}.