Given numbers are 781,972,412,742,568

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

The LCM of 781,972,412,742,568 is 58017422232.

Find LCM of 781,972,412,742,568 with Prime Factorization

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

2 x 2 x 71 x 11 x 243 x 103 x 371 x 2 = 58017422232

Therefore, the lowest common multiple of 781,972,412,742,568 is 58017422232.

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.

781 x 972 x 412 x 742 x 568 = 131815583311104

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.

781 : 1, 11, 71, 781

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,972,412,742,568, is 1.

Now, the common factors can be found like this.

781:11x 71

972:2x 2x 3x 3x 3x 3x 3

412:2x 2x 103

742:2x 7x 53

568:2x 2x 2x 71

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 2x 2x 71 = 2272

Therefore, the value for common factors is 2272.

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 = 131815583311104/(1x2272)

LCM = 131815583311104/2272

LCM = 58017422232

Thus, we can understand that the LCM of 781,972,412,742,568 is 58017422232.

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

• LCM of 862, 926, 104, 513, 722
• LCM of 939, 666, 696, 788, 886
• LCM of 947, 952, 556, 293, 405
• LCM of 563, 362, 678, 872, 188
• LCM of 225, 215, 798, 432, 489

1. What is the LCM of 781, 972, 412, 742, 568?

Answer: LCM of 781, 972, 412, 742, 568 is 58017422232.

2. How to calculate the LCM of 781, 972, 412, 742, 568?

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 781, 972, 412, 742, 568.

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}.