Given numbers are 872,509,365,327,489

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

The LCM of 872,509,365,327,489 is 79220210280.

Find LCM of 872,509,365,327,489 with Prime Factorization

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

3 x 109 x 8 x 509 x 365 x 1 x 163 = 79220210280

Therefore, the lowest common multiple of 872,509,365,327,489 is 79220210280.

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.

872 x 509 x 365 x 327 x 489 = 25905008761560

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

509 : 1, 509

365 : 1, 5, 73, 365

327 : 1, 3, 109, 327

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,509,365,327,489, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

509:509

365:5x 73

327:3x 109

489:3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 25905008761560/(1x327)

LCM = 25905008761560/327

LCM = 79220210280

Thus, we can understand that the LCM of 872,509,365,327,489 is 79220210280.

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

• LCM of 582, 408, 594, 854, 780
• LCM of 453, 659, 241, 846, 468
• LCM of 609, 871, 390, 344, 240
• LCM of 427, 394, 673, 914, 106
• LCM of 766, 947, 640, 145, 318

1. What is the LCM of 872, 509, 365, 327, 489?

Answer: LCM of 872, 509, 365, 327, 489 is 79220210280.

2. How to calculate the LCM of 872, 509, 365, 327, 489?

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 872, 509, 365, 327, 489.

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}.