Given numbers are 509,724,608,380,190

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

The LCM of 509,724,608,380,190 is 280072160.

Find LCM of 509,724,608,380,190 with Prime Factorization

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

2 x 2 x 5 x 19 x 509 x 181 x 8 x 1 x 1 = 280072160

Therefore, the lowest common multiple of 509,724,608,380,190 is 280072160.

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.

509 x 724 x 608 x 380 x 190 = 16176967961600

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.

509 : 1, 509

724 : 1, 2, 4, 181, 362, 724

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,724,608,380,190, is 1.

Now, the common factors can be found like this.

509:509

724:2x 2x 181

608:2x 2x 2x 2x 2x 19

380:2x 2x 5x 19

190:2x 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 2x 2x 2x 5x 19x 19 = 57760

Therefore, the value for common factors is 57760.

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 = 16176967961600/(1x57760)

LCM = 16176967961600/57760

LCM = 280072160

Thus, we can understand that the LCM of 509,724,608,380,190 is 280072160.

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

• LCM of 108, 380, 399, 223, 718
• LCM of 284, 521, 983, 219, 495
• LCM of 294, 305, 800, 499, 372
• LCM of 696, 734, 954, 264, 478
• LCM of 410, 527, 538, 410, 639

1. What is the LCM of 509, 724, 608, 380, 190?

Answer: LCM of 509, 724, 608, 380, 190 is 280072160.

2. How to calculate the LCM of 509, 724, 608, 380, 190?

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 509, 724, 608, 380, 190.

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}.