Given numbers are 828,782,880,403,107

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

The LCM of 828,782,880,403,107 is 133533663120.

Find LCM of 828,782,880,403,107 with Prime Factorization

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

2 x 2 x 23 x 9 x 17 x 220 x 403 x 107 = 133533663120

Therefore, the lowest common multiple of 828,782,880,403,107 is 133533663120.

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 782 x 880 x 403 x 107 = 24570194014080

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

403 : 1, 13, 31, 403

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,782,880,403,107, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

782:2x 17x 23

880:2x 2x 2x 2x 5x 11

403:13x 31

107:107

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 23 = 184

Therefore, the value for common factors is 184.

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 = 24570194014080/(1x184)

LCM = 24570194014080/184

LCM = 133533663120

Thus, we can understand that the LCM of 828,782,880,403,107 is 133533663120.

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

• LCM of 155, 870, 179, 986, 291
• LCM of 235, 302, 684, 578, 830
• LCM of 304, 209, 243, 987, 624
• LCM of 833, 178, 563, 177, 723
• LCM of 815, 691, 654, 726, 304

1. What is the LCM of 828, 782, 880, 403, 107?

Answer: LCM of 828, 782, 880, 403, 107 is 133533663120.

2. How to calculate the LCM of 828, 782, 880, 403, 107?

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, 782, 880, 403, 107.

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}.