Given numbers are 268,809,579,120,536

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

The LCM of 268,809,579,120,536 is 1255341480.

Find LCM of 268,809,579,120,536 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 1 x 809 x 193 x 5 x 1 = 1255341480

Therefore, the lowest common multiple of 268,809,579,120,536 is 1255341480.

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.

268 x 809 x 579 x 120 x 536 = 8074356399360

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.

268 : 1, 2, 4, 67, 134, 268

809 : 1, 809

579 : 1, 3, 193, 579

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,809,579,120,536, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

809:809

579:3x 193

120:2x 2x 2x 3x 5

536:2x 2x 2x 67

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 3x 67 = 6432

Therefore, the value for common factors is 6432.

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 = 8074356399360/(1x6432)

LCM = 8074356399360/6432

LCM = 1255341480

Thus, we can understand that the LCM of 268,809,579,120,536 is 1255341480.

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

• LCM of 807, 104, 552, 201, 940
• LCM of 396, 314, 143, 469, 991
• LCM of 404, 495, 236, 233, 736
• LCM of 509, 567, 739, 622, 597
• LCM of 783, 664, 946, 262, 913

1. What is the LCM of 268, 809, 579, 120, 536?

Answer: LCM of 268, 809, 579, 120, 536 is 1255341480.

2. How to calculate the LCM of 268, 809, 579, 120, 536?

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 268, 809, 579, 120, 536.

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}.