Given numbers are 487,408,418,428

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

The LCM of 487,408,418,428 is 4443438648.

Find LCM of 487,408,418,428 with Prime Factorization

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

2 x 2 x 487 x 102 x 209 x 107 = 4443438648

Therefore, the lowest common multiple of 487,408,418,428 is 4443438648.

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 408 x 418 x 428 = 35547509184

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

418 : 1, 2, 11, 19, 22, 38, 209, 418

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,408,418,428, is 1.

Now, the common factors can be found like this.

487:487

408:2x 2x 2x 3x 17

418:2x 11x 19

428:2x 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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 35547509184/(1x8)

LCM = 35547509184/8

LCM = 4443438648

Thus, we can understand that the LCM of 487,408,418,428 is 4443438648.

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

• LCM of 486, 907, 673, 196
• LCM of 334, 909, 265, 124
• LCM of 198, 590, 919, 662
• LCM of 186, 782, 204, 813
• LCM of 574, 763, 717, 175

1. What is the LCM of 487, 408, 418, 428?

Answer: LCM of 487, 408, 418, 428 is 4443438648.

2. How to calculate the LCM of 487, 408, 418, 428?

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, 408, 418, 428.

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}.