Given numbers are 380,840,471,489

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

The LCM of 380,840,471,489 is 408432360.

Find LCM of 380,840,471,489 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 14 x 157 x 163 = 408432360

Therefore, the lowest common multiple of 380,840,471,489 is 408432360.

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.

380 x 840 x 471 x 489 = 73517824800

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

471 : 1, 3, 157, 471

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,840,471,489, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

840:2x 2x 2x 3x 5x 7

471:3x 157

489:3x 163

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 73517824800/(1x180)

LCM = 73517824800/180

LCM = 408432360

Thus, we can understand that the LCM of 380,840,471,489 is 408432360.

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

• LCM of 435, 378, 335, 972
• LCM of 567, 107, 577, 371
• LCM of 441, 423, 925, 874
• LCM of 808, 416, 765, 168
• LCM of 130, 911, 488, 539

1. What is the LCM of 380, 840, 471, 489?

Answer: LCM of 380, 840, 471, 489 is 408432360.

2. How to calculate the LCM of 380, 840, 471, 489?

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 380, 840, 471, 489.

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}.