Given numbers are 914,526,268,920

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

The LCM of 914,526,268,920 is 7408573240.

Find LCM of 914,526,268,920 with Prime Factorization

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

2 x 2 x 457 x 263 x 67 x 230 = 7408573240

Therefore, the lowest common multiple of 914,526,268,920 is 7408573240.

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.

914 x 526 x 268 x 920 = 118537171840

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.

914 : 1, 2, 457, 914

526 : 1, 2, 263, 526

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,526,268,920, is 2.

Now, the common factors can be found like this.

914:2x 457

526:2x 263

268:2x 2x 67

920:2x 2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 118537171840/(2x8)

LCM = 118537171840/16

LCM = 7408573240

Thus, we can understand that the LCM of 914,526,268,920 is 7408573240.

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

• LCM of 913, 611, 851, 542
• LCM of 595, 382, 809, 104
• LCM of 927, 552, 100, 777
• LCM of 945, 515, 525, 279
• LCM of 557, 971, 755, 994

1. What is the LCM of 914, 526, 268, 920?

Answer: LCM of 914, 526, 268, 920 is 7408573240.

2. How to calculate the LCM of 914, 526, 268, 920?

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 914, 526, 268, 920.

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}.