Given numbers are 485,750,690,570

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

The LCM of 485,750,690,570 is 31791750.

Find LCM of 485,750,690,570 with Prime Factorization

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

2 x 3 x 5 x 97 x 25 x 23 x 19 = 31791750

Therefore, the lowest common multiple of 485,750,690,570 is 31791750.

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.

485 x 750 x 690 x 570 = 143062875000

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.

485 : 1, 5, 97, 485

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,750,690,570, is 5.

Now, the common factors can be found like this.

485:5x 97

750:2x 3x 5x 5x 5

690:2x 3x 5x 23

570:2x 3x 5x 19

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 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 143062875000/(5x900)

LCM = 143062875000/4500

LCM = 31791750

Thus, we can understand that the LCM of 485,750,690,570 is 31791750.

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

• LCM of 267, 440, 861, 861
• LCM of 715, 384, 899, 783
• LCM of 264, 590, 807, 902
• LCM of 652, 391, 571, 830
• LCM of 361, 541, 459, 537

1. What is the LCM of 485, 750, 690, 570?

Answer: LCM of 485, 750, 690, 570 is 31791750.

2. How to calculate the LCM of 485, 750, 690, 570?

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 485, 750, 690, 570.

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}.