Given numbers are 489,128,715,329,275

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

The LCM of 489,128,715,329,275 is 73619145600.

Find LCM of 489,128,715,329,275 with Prime Factorization

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

5 x 11 x 489 x 128 x 13 x 329 x 5 = 73619145600

Therefore, the lowest common multiple of 489,128,715,329,275 is 73619145600.

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.

489 x 128 x 715 x 329 x 275 = 4049053008000

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.

489 : 1, 3, 163, 489

128 : 1, 2, 4, 8, 16, 32, 64, 128

715 : 1, 5, 11, 13, 55, 65, 143, 715

329 : 1, 7, 47, 329

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,128,715,329,275, is 1.

Now, the common factors can be found like this.

489:3x 163

128:2x 2x 2x 2x 2x 2x 2

715:5x 11x 13

329:7x 47

275:5x 5x 11

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 4049053008000/(1x55)

LCM = 4049053008000/55

LCM = 73619145600

Thus, we can understand that the LCM of 489,128,715,329,275 is 73619145600.

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

• LCM of 600, 186, 267, 801, 764
• LCM of 674, 181, 720, 550, 783
• LCM of 326, 647, 916, 275, 719
• LCM of 177, 662, 915, 452, 937
• LCM of 708, 998, 963, 657, 913

1. What is the LCM of 489, 128, 715, 329, 275?

Answer: LCM of 489, 128, 715, 329, 275 is 73619145600.

2. How to calculate the LCM of 489, 128, 715, 329, 275?

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 489, 128, 715, 329, 275.

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}.