Given numbers are 454,214,719,460

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

The LCM of 454,214,719,460 is 8033343860.

Find LCM of 454,214,719,460 with Prime Factorization

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

2 x 227 x 107 x 719 x 230 = 8033343860

Therefore, the lowest common multiple of 454,214,719,460 is 8033343860.

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.

454 x 214 x 719 x 460 = 32133375440

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.

454 : 1, 2, 227, 454

214 : 1, 2, 107, 214

719 : 1, 719

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,214,719,460, is 1.

Now, the common factors can be found like this.

454:2x 227

214:2x 107

719:719

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 32133375440/(1x4)

LCM = 32133375440/4

LCM = 8033343860

Thus, we can understand that the LCM of 454,214,719,460 is 8033343860.

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

• LCM of 820, 431, 778, 278
• LCM of 897, 531, 234, 174
• LCM of 152, 664, 816, 850
• LCM of 990, 533, 193, 790
• LCM of 267, 922, 417, 608

1. What is the LCM of 454, 214, 719, 460?

Answer: LCM of 454, 214, 719, 460 is 8033343860.

2. How to calculate the LCM of 454, 214, 719, 460?

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 454, 214, 719, 460.

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}.