Given numbers are 150,580,569,290,700

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

The LCM of 150,580,569,290,700 is 34652100.

Find LCM of 150,580,569,290,700 with Prime Factorization

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

2 x 2 x 5 x 5 x 29 x 3 x 1 x 569 x 1 x 7 = 34652100

Therefore, the lowest common multiple of 150,580,569,290,700 is 34652100.

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.

150 x 580 x 569 x 290 x 700 = 10049109000000

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

569 : 1, 569

290 : 1, 2, 5, 10, 29, 58, 145, 290

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,580,569,290,700, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

580:2x 2x 5x 29

569:569

290:2x 5x 29

700:2x 2x 5x 5x 7

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 5x 5x 5x 5x 29 = 290000

Therefore, the value for common factors is 290000.

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 = 10049109000000/(1x290000)

LCM = 10049109000000/290000

LCM = 34652100

Thus, we can understand that the LCM of 150,580,569,290,700 is 34652100.

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

• LCM of 710, 232, 384, 900, 675
• LCM of 227, 876, 300, 816, 693
• LCM of 868, 221, 852, 584, 794
• LCM of 842, 167, 656, 501, 965
• LCM of 284, 116, 261, 319, 346

1. What is the LCM of 150, 580, 569, 290, 700?

Answer: LCM of 150, 580, 569, 290, 700 is 34652100.

2. How to calculate the LCM of 150, 580, 569, 290, 700?

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 150, 580, 569, 290, 700.

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}.