Given numbers are 864,167,468,918

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

The LCM of 864,167,468,918 is 31887648.

Find LCM of 864,167,468,918 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 8 x 167 x 13 x 17 = 31887648

Therefore, the lowest common multiple of 864,167,468,918 is 31887648.

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 167 x 468 x 918 = 61989587712

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

167 : 1, 167

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,167,468,918, is 1.

Now, the common factors can be found like this.

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

167:167

468:2x 2x 3x 3x 13

918:2x 3x 3x 3x 17

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 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 61989587712/(1x1944)

LCM = 61989587712/1944

LCM = 31887648

Thus, we can understand that the LCM of 864,167,468,918 is 31887648.

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

• LCM of 702, 448, 241, 701
• LCM of 465, 525, 179, 829
• LCM of 537, 155, 185, 258
• LCM of 240, 441, 878, 479
• LCM of 466, 434, 710, 222

1. What is the LCM of 864, 167, 468, 918?

Answer: LCM of 864, 167, 468, 918 is 31887648.

2. How to calculate the LCM of 864, 167, 468, 918?

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, 167, 468, 918.

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}.