Given numbers are 459,214,348,454

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

The LCM of 459,214,348,454 is 1293243516.

Find LCM of 459,214,348,454 with Prime Factorization

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

2 x 3 x 153 x 107 x 58 x 227 = 1293243516

Therefore, the lowest common multiple of 459,214,348,454 is 1293243516.

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.

459 x 214 x 348 x 454 = 15518922192

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

214 : 1, 2, 107, 214

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,214,348,454, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

214:2x 107

348:2x 2x 3x 29

454:2x 227

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 3 = 12

Therefore, the value for common factors is 12.

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 = 15518922192/(1x12)

LCM = 15518922192/12

LCM = 1293243516

Thus, we can understand that the LCM of 459,214,348,454 is 1293243516.

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

• LCM of 131, 952, 476, 242
• LCM of 538, 877, 761, 127
• LCM of 979, 268, 984, 460
• LCM of 901, 399, 373, 549
• LCM of 357, 157, 799, 526

1. What is the LCM of 459, 214, 348, 454?

Answer: LCM of 459, 214, 348, 454 is 1293243516.

2. How to calculate the LCM of 459, 214, 348, 454?

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 459, 214, 348, 454.

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}.