Given numbers are 468,956,591,135,918

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

The LCM of 468,956,591,135,918 is 5618885220.

Find LCM of 468,956,591,135,918 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 13 x 239 x 197 x 5 x 17 = 5618885220

Therefore, the lowest common multiple of 468,956,591,135,918 is 5618885220.

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 956 x 591 x 135 x 918 = 32769338603040

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

956 : 1, 2, 4, 239, 478, 956

591 : 1, 3, 197, 591

135 : 1, 3, 5, 9, 15, 27, 45, 135

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 468,956,591,135,918, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

956:2x 2x 239

591:3x 197

135:3x 3x 3x 5

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 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 32769338603040/(1x5832)

LCM = 32769338603040/5832

LCM = 5618885220

Thus, we can understand that the LCM of 468,956,591,135,918 is 5618885220.

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

• LCM of 849, 579, 438, 477, 662
• LCM of 755, 604, 724, 483, 288
• LCM of 189, 272, 771, 551, 984
• LCM of 374, 713, 785, 530, 252
• LCM of 570, 152, 682, 994, 301

1. What is the LCM of 468, 956, 591, 135, 918?

Answer: LCM of 468, 956, 591, 135, 918 is 5618885220.

2. How to calculate the LCM of 468, 956, 591, 135, 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 468, 956, 591, 135, 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}.