Given numbers are 487,430,682,301,412

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

The LCM of 487,430,682,301,412 is 102971504020.

Find LCM of 487,430,682,301,412 with Prime Factorization

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

2 x 43 x 487 x 5 x 341 x 7 x 206 = 102971504020

Therefore, the lowest common multiple of 487,430,682,301,412 is 102971504020.

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.

487 x 430 x 682 x 301 x 412 = 17711098691440

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.

487 : 1, 487

430 : 1, 2, 5, 10, 43, 86, 215, 430

682 : 1, 2, 11, 22, 31, 62, 341, 682

301 : 1, 7, 43, 301

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,430,682,301,412, is 1.

Now, the common factors can be found like this.

487:487

430:2x 5x 43

682:2x 11x 31

301:7x 43

412:2x 2x 103

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 43 = 172

Therefore, the value for common factors is 172.

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 = 17711098691440/(1x172)

LCM = 17711098691440/172

LCM = 102971504020

Thus, we can understand that the LCM of 487,430,682,301,412 is 102971504020.

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

• LCM of 653, 562, 364, 447, 422
• LCM of 533, 721, 366, 548, 580
• LCM of 783, 981, 673, 562, 615
• LCM of 591, 521, 499, 104, 710
• LCM of 538, 763, 185, 473, 971

1. What is the LCM of 487, 430, 682, 301, 412?

Answer: LCM of 487, 430, 682, 301, 412 is 102971504020.

2. How to calculate the LCM of 487, 430, 682, 301, 412?

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 487, 430, 682, 301, 412.

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}.