Given numbers are 268,407,524,531

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

The LCM of 268,407,524,531 is 7587435636.

Find LCM of 268,407,524,531 with Prime Factorization

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

2 x 2 x 67 x 407 x 131 x 531 = 7587435636

Therefore, the lowest common multiple of 268,407,524,531 is 7587435636.

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 407 x 524 x 531 = 30349742544

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

407 : 1, 11, 37, 407

524 : 1, 2, 4, 131, 262, 524

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,407,524,531, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

407:11x 37

524:2x 2x 131

531:3x 3x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30349742544/(1x4)

LCM = 30349742544/4

LCM = 7587435636

Thus, we can understand that the LCM of 268,407,524,531 is 7587435636.

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

• LCM of 422, 237, 168, 628
• LCM of 838, 784, 594, 308
• LCM of 777, 952, 380, 353
• LCM of 317, 911, 989, 867
• LCM of 853, 652, 840, 366

1. What is the LCM of 268, 407, 524, 531?

Answer: LCM of 268, 407, 524, 531 is 7587435636.

2. How to calculate the LCM of 268, 407, 524, 531?

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, 407, 524, 531.

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}.