Given numbers are 480,320,230,785

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

The LCM of 480,320,230,785 is 3466560.

Find LCM of 480,320,230,785 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 3 x 2 x 23 x 157 = 3466560

Therefore, the lowest common multiple of 480,320,230,785 is 3466560.

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.

480 x 320 x 230 x 785 = 27732480000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

230 : 1, 2, 5, 10, 23, 46, 115, 230

785 : 1, 5, 157, 785

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,320,230,785, is 5.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

320:2x 2x 2x 2x 2x 2x 5

230:2x 5x 23

785:5x 157

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 2x 2x 2x 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 27732480000/(5x1600)

LCM = 27732480000/8000

LCM = 3466560

Thus, we can understand that the LCM of 480,320,230,785 is 3466560.

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

• LCM of 992, 187, 967, 985
• LCM of 382, 764, 570, 360
• LCM of 238, 842, 375, 252
• LCM of 223, 262, 853, 981
• LCM of 994, 810, 925, 698

1. What is the LCM of 480, 320, 230, 785?

Answer: LCM of 480, 320, 230, 785 is 3466560.

2. How to calculate the LCM of 480, 320, 230, 785?

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 480, 320, 230, 785.

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}.