Given numbers are 340,660,750,577,568

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

The LCM of 340,660,750,577,568 is 22982487000.

Find LCM of 340,660,750,577,568 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 11 x 25 x 577 x 142 = 22982487000

Therefore, the lowest common multiple of 340,660,750,577,568 is 22982487000.

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.

340 x 660 x 750 x 577 x 568 = 55157968800000

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

577 : 1, 577

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,660,750,577,568, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

660:2x 2x 3x 5x 11

750:2x 3x 5x 5x 5

577:577

568:2x 2x 2x 71

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 55157968800000/(1x2400)

LCM = 55157968800000/2400

LCM = 22982487000

Thus, we can understand that the LCM of 340,660,750,577,568 is 22982487000.

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

• LCM of 746, 566, 355, 585, 374
• LCM of 498, 132, 307, 925, 505
• LCM of 814, 451, 231, 876, 225
• LCM of 822, 964, 432, 350, 625
• LCM of 842, 798, 547, 824, 216

1. What is the LCM of 340, 660, 750, 577, 568?

Answer: LCM of 340, 660, 750, 577, 568 is 22982487000.

2. How to calculate the LCM of 340, 660, 750, 577, 568?

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 340, 660, 750, 577, 568.

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}.