Given numbers are 456,881,214,431,136

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

The LCM of 456,881,214,431,136 is 314956604904.

Find LCM of 456,881,214,431,136 with Prime Factorization

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

2 x 2 x 2 x 57 x 881 x 107 x 431 x 17 = 314956604904

Therefore, the lowest common multiple of 456,881,214,431,136 is 314956604904.

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.

456 x 881 x 214 x 431 x 136 = 5039305678464

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

881 : 1, 881

214 : 1, 2, 107, 214

431 : 1, 431

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,881,214,431,136, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

881:881

214:2x 107

431:431

136:2x 2x 2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 5039305678464/(1x16)

LCM = 5039305678464/16

LCM = 314956604904

Thus, we can understand that the LCM of 456,881,214,431,136 is 314956604904.

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

• LCM of 633, 830, 407, 834, 302
• LCM of 923, 230, 111, 674, 270
• LCM of 556, 826, 753, 732, 582
• LCM of 632, 505, 331, 320, 838
• LCM of 404, 978, 446, 975, 479

1. What is the LCM of 456, 881, 214, 431, 136?

Answer: LCM of 456, 881, 214, 431, 136 is 314956604904.

2. How to calculate the LCM of 456, 881, 214, 431, 136?

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 456, 881, 214, 431, 136.

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}.