Given numbers are 864,894,390,458

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

The LCM of 864,894,390,458 is 1916235360.

Find LCM of 864,894,390,458 with Prime Factorization

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

2 x 3 x 144 x 149 x 65 x 229 = 1916235360

Therefore, the lowest common multiple of 864,894,390,458 is 1916235360.

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 894 x 390 x 458 = 137968945920

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,894,390,458, is 2.

Now, the common factors can be found like this.

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

894:2x 3x 149

390:2x 3x 5x 13

458:2x 229

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 137968945920/(2x36)

LCM = 137968945920/72

LCM = 1916235360

Thus, we can understand that the LCM of 864,894,390,458 is 1916235360.

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

• LCM of 654, 279, 692, 119
• LCM of 994, 291, 291, 519
• LCM of 839, 183, 991, 402
• LCM of 298, 827, 487, 985
• LCM of 355, 977, 200, 760

1. What is the LCM of 864, 894, 390, 458?

Answer: LCM of 864, 894, 390, 458 is 1916235360.

2. How to calculate the LCM of 864, 894, 390, 458?

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, 894, 390, 458.

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}.