Given numbers are 810,115,264,894

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

The LCM of 810,115,264,894 is 122138280.

Find LCM of 810,115,264,894 with Prime Factorization

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

2 x 3 x 5 x 27 x 23 x 44 x 149 = 122138280

Therefore, the lowest common multiple of 810,115,264,894 is 122138280.

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.

810 x 115 x 264 x 894 = 21984890400

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

115 : 1, 5, 23, 115

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,115,264,894, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

115:5x 23

264:2x 2x 2x 3x 11

894:2x 3x 149

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 21984890400/(1x180)

LCM = 21984890400/180

LCM = 122138280

Thus, we can understand that the LCM of 810,115,264,894 is 122138280.

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

• LCM of 987, 492, 562, 502
• LCM of 444, 111, 807, 340
• LCM of 632, 760, 302, 146
• LCM of 338, 795, 832, 924
• LCM of 617, 488, 964, 172

1. What is the LCM of 810, 115, 264, 894?

Answer: LCM of 810, 115, 264, 894 is 122138280.

2. How to calculate the LCM of 810, 115, 264, 894?

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 810, 115, 264, 894.

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}.