Given numbers are 468,966,334,894

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

The LCM of 468,966,334,894 is 1874884284.

Find LCM of 468,966,334,894 with Prime Factorization

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

2 x 3 x 78 x 161 x 167 x 149 = 1874884284

Therefore, the lowest common multiple of 468,966,334,894 is 1874884284.

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.

468 x 966 x 334 x 894 = 134991668448

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

334 : 1, 2, 167, 334

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,966,334,894, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

966:2x 3x 7x 23

334:2x 167

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 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 = 134991668448/(2x36)

LCM = 134991668448/72

LCM = 1874884284

Thus, we can understand that the LCM of 468,966,334,894 is 1874884284.

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

• LCM of 766, 485, 380, 756
• LCM of 288, 911, 243, 626
• LCM of 163, 899, 415, 286
• LCM of 185, 212, 353, 791
• LCM of 562, 166, 657, 642

1. What is the LCM of 468, 966, 334, 894?

Answer: LCM of 468, 966, 334, 894 is 1874884284.

2. How to calculate the LCM of 468, 966, 334, 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 468, 966, 334, 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}.