Given numbers are 459,253,706,463,214

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

The LCM of 459,253,706,463,214 is 4061651681142.

Find LCM of 459,253,706,463,214 with Prime Factorization

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

2 x 459 x 253 x 353 x 463 x 107 = 4061651681142

Therefore, the lowest common multiple of 459,253,706,463,214 is 4061651681142.

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 253 x 706 x 463 x 214 = 8123303362284

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

253 : 1, 11, 23, 253

706 : 1, 2, 353, 706

463 : 1, 463

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,253,706,463,214, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

253:11x 23

706:2x 353

463:463

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 8123303362284/(1x2)

LCM = 8123303362284/2

LCM = 4061651681142

Thus, we can understand that the LCM of 459,253,706,463,214 is 4061651681142.

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

• LCM of 858, 363, 990, 175, 787
• LCM of 408, 284, 341, 941, 314
• LCM of 932, 628, 614, 606, 691
• LCM of 596, 181, 535, 728, 143
• LCM of 122, 435, 632, 112, 803

1. What is the LCM of 459, 253, 706, 463, 214?

Answer: LCM of 459, 253, 706, 463, 214 is 4061651681142.

2. How to calculate the LCM of 459, 253, 706, 463, 214?

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, 253, 706, 463, 214.

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}.