Given numbers are 717,828,920,906,789

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

The LCM of 717,828,920,906,789 is 78588849960.

Find LCM of 717,828,920,906,789 with Prime Factorization

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

2 x 2 x 3 x 23 x 239 x 3 x 10 x 151 x 263 = 78588849960

Therefore, the lowest common multiple of 717,828,920,906,789 is 78588849960.

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.

717 x 828 x 920 x 906 x 789 = 390429406601280

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.

717 : 1, 3, 239, 717

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

906 : 1, 2, 3, 6, 151, 302, 453, 906

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,828,920,906,789, is 1.

Now, the common factors can be found like this.

717:3x 239

828:2x 2x 3x 3x 23

920:2x 2x 2x 5x 23

906:2x 3x 151

789:3x 263

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 3x 3x 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 390429406601280/(1x4968)

LCM = 390429406601280/4968

LCM = 78588849960

Thus, we can understand that the LCM of 717,828,920,906,789 is 78588849960.

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

• LCM of 377, 124, 828, 713, 386
• LCM of 629, 972, 762, 840, 810
• LCM of 118, 617, 350, 891, 617
• LCM of 592, 252, 284, 266, 513
• LCM of 948, 521, 178, 174, 781

1. What is the LCM of 717, 828, 920, 906, 789?

Answer: LCM of 717, 828, 920, 906, 789 is 78588849960.

2. How to calculate the LCM of 717, 828, 920, 906, 789?

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 717, 828, 920, 906, 789.

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}.