Given numbers are 268,585,517,407

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

The LCM of 268,585,517,407 is 2999044620.

Find LCM of 268,585,517,407 with Prime Factorization

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

11 x 268 x 585 x 47 x 37 = 2999044620

Therefore, the lowest common multiple of 268,585,517,407 is 2999044620.

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 585 x 517 x 407 = 32989490820

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

517 : 1, 11, 47, 517

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,585,517,407, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

585:3x 3x 5x 13

517:11x 47

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 32989490820/(1x11)

LCM = 32989490820/11

LCM = 2999044620

Thus, we can understand that the LCM of 268,585,517,407 is 2999044620.

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

• LCM of 548, 385, 147, 993
• LCM of 106, 743, 270, 898
• LCM of 554, 176, 581, 134
• LCM of 629, 452, 386, 186
• LCM of 910, 773, 115, 257

1. What is the LCM of 268, 585, 517, 407?

Answer: LCM of 268, 585, 517, 407 is 2999044620.

2. How to calculate the LCM of 268, 585, 517, 407?

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, 585, 517, 407.

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}.