Given numbers are 828,517,901,305,290

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

The LCM of 828,517,901,305,290 is 3411485330220.

Find LCM of 828,517,901,305,290 with Prime Factorization

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

2 x 5 x 414 x 517 x 901 x 61 x 29 = 3411485330220

Therefore, the lowest common multiple of 828,517,901,305,290 is 3411485330220.

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.

828 x 517 x 901 x 305 x 290 = 34114853302200

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

517 : 1, 11, 47, 517

901 : 1, 17, 53, 901

305 : 1, 5, 61, 305

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,517,901,305,290, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

517:11x 47

901:17x 53

305:5x 61

290:2x 5x 29

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 34114853302200/(1x10)

LCM = 34114853302200/10

LCM = 3411485330220

Thus, we can understand that the LCM of 828,517,901,305,290 is 3411485330220.

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

• LCM of 851, 963, 844, 318, 786
• LCM of 358, 941, 389, 806, 758
• LCM of 512, 633, 649, 116, 910
• LCM of 162, 661, 742, 386, 351
• LCM of 148, 404, 862, 363, 156

1. What is the LCM of 828, 517, 901, 305, 290?

Answer: LCM of 828, 517, 901, 305, 290 is 3411485330220.

2. How to calculate the LCM of 828, 517, 901, 305, 290?

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 828, 517, 901, 305, 290.

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}.