Given numbers are 469,662,268,460

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

The LCM of 469,662,268,460 is 71409940.

Find LCM of 469,662,268,460 with Prime Factorization

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

2 x 2 x 67 x 7 x 331 x 1 x 115 = 71409940

Therefore, the lowest common multiple of 469,662,268,460 is 71409940.

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.

469 x 662 x 268 x 460 = 38275727840

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.

469 : 1, 7, 67, 469

662 : 1, 2, 331, 662

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,662,268,460, is 1.

Now, the common factors can be found like this.

469:7x 67

662:2x 331

268:2x 2x 67

460:2x 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 2x 67 = 536

Therefore, the value for common factors is 536.

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 = 38275727840/(1x536)

LCM = 38275727840/536

LCM = 71409940

Thus, we can understand that the LCM of 469,662,268,460 is 71409940.

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

• LCM of 908, 221, 731, 980
• LCM of 597, 933, 918, 555
• LCM of 446, 982, 996, 216
• LCM of 918, 151, 956, 480
• LCM of 733, 499, 675, 582

1. What is the LCM of 469, 662, 268, 460?

Answer: LCM of 469, 662, 268, 460 is 71409940.

2. How to calculate the LCM of 469, 662, 268, 460?

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 469, 662, 268, 460.

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}.