Given numbers are 617,412,787,927,742

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

The LCM of 617,412,787,927,742 is 667995491772.

Find LCM of 617,412,787,927,742 with Prime Factorization

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

2 x 103 x 617 x 2 x 787 x 9 x 371 = 667995491772

Therefore, the lowest common multiple of 617,412,787,927,742 is 667995491772.

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.

617 x 412 x 787 x 927 x 742 = 137607071305032

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.

617 : 1, 617

412 : 1, 2, 4, 103, 206, 412

787 : 1, 787

927 : 1, 3, 9, 103, 309, 927

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,412,787,927,742, is 1.

Now, the common factors can be found like this.

617:617

412:2x 2x 103

787:787

927:3x 3x 103

742:2x 7x 53

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

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 137607071305032/(1x206)

LCM = 137607071305032/206

LCM = 667995491772

Thus, we can understand that the LCM of 617,412,787,927,742 is 667995491772.

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

• LCM of 224, 675, 900, 813, 949
• LCM of 258, 569, 830, 320, 256
• LCM of 119, 326, 803, 223, 820
• LCM of 815, 981, 882, 488, 780
• LCM of 160, 248, 449, 545, 333

1. What is the LCM of 617, 412, 787, 927, 742?

Answer: LCM of 617, 412, 787, 927, 742 is 667995491772.

2. How to calculate the LCM of 617, 412, 787, 927, 742?

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 617, 412, 787, 927, 742.

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}.