Given numbers are 260,212,487,585,750

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

The LCM of 260,212,487,585,750 is 1509943500.

Find LCM of 260,212,487,585,750 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 1 x 53 x 487 x 3 x 25 = 1509943500

Therefore, the lowest common multiple of 260,212,487,585,750 is 1509943500.

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.

260 x 212 x 487 x 585 x 750 = 11777559300000

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

212 : 1, 2, 4, 53, 106, 212

487 : 1, 487

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,212,487,585,750, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

212:2x 2x 53

487:487

585:3x 3x 5x 13

750:2x 3x 5x 5x 5

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 3x 5x 5x 13 = 7800

Therefore, the value for common factors is 7800.

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 = 11777559300000/(1x7800)

LCM = 11777559300000/7800

LCM = 1509943500

Thus, we can understand that the LCM of 260,212,487,585,750 is 1509943500.

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

• LCM of 614, 486, 206, 617, 411
• LCM of 355, 375, 625, 269, 819
• LCM of 984, 846, 269, 235, 158
• LCM of 426, 500, 802, 821, 940
• LCM of 852, 543, 732, 715, 574

1. What is the LCM of 260, 212, 487, 585, 750?

Answer: LCM of 260, 212, 487, 585, 750 is 1509943500.

2. How to calculate the LCM of 260, 212, 487, 585, 750?

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 260, 212, 487, 585, 750.

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}.