Given numbers are 489,407,412,420

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

The LCM of 489,407,412,420 is 2869911660.

Find LCM of 489,407,412,420 with Prime Factorization

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

2 x 2 x 3 x 163 x 407 x 103 x 35 = 2869911660

Therefore, the lowest common multiple of 489,407,412,420 is 2869911660.

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.

489 x 407 x 412 x 420 = 34438939920

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.

489 : 1, 3, 163, 489

407 : 1, 11, 37, 407

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,407,412,420, is 1.

Now, the common factors can be found like this.

489:3x 163

407:11x 37

412:2x 2x 103

420:2x 2x 3x 5x 7

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 = 34438939920/(1x12)

LCM = 34438939920/12

LCM = 2869911660

Thus, we can understand that the LCM of 489,407,412,420 is 2869911660.

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

• LCM of 506, 532, 262, 337
• LCM of 798, 746, 545, 419
• LCM of 915, 266, 708, 188
• LCM of 140, 659, 920, 140
• LCM of 298, 829, 265, 921

1. What is the LCM of 489, 407, 412, 420?

Answer: LCM of 489, 407, 412, 420 is 2869911660.

2. How to calculate the LCM of 489, 407, 412, 420?

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 489, 407, 412, 420.

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}.