Given numbers are 814,396,785,308,719

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

The LCM of 814,396,785,308,719 is 57888660060.

Find LCM of 814,396,785,308,719 with Prime Factorization

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

2 x 2 x 11 x 37 x 9 x 785 x 7 x 719 = 57888660060

Therefore, the lowest common multiple of 814,396,785,308,719 is 57888660060.

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.

814 x 396 x 785 x 308 x 719 = 56036222938080

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

785 : 1, 5, 157, 785

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,396,785,308,719, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

396:2x 2x 3x 3x 11

785:5x 157

308:2x 2x 7x 11

719:719

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 56036222938080/(1x968)

LCM = 56036222938080/968

LCM = 57888660060

Thus, we can understand that the LCM of 814,396,785,308,719 is 57888660060.

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

• LCM of 734, 292, 394, 178, 973
• LCM of 822, 417, 814, 980, 713
• LCM of 309, 328, 626, 378, 953
• LCM of 762, 322, 238, 711, 978
• LCM of 695, 661, 209, 553, 373

1. What is the LCM of 814, 396, 785, 308, 719?

Answer: LCM of 814, 396, 785, 308, 719 is 57888660060.

2. How to calculate the LCM of 814, 396, 785, 308, 719?

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 814, 396, 785, 308, 719.

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}.