Given numbers are 409,431,268,532

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

The LCM of 409,431,268,532 is 6283288676.

Find LCM of 409,431,268,532 with Prime Factorization

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

2 x 2 x 409 x 431 x 67 x 133 = 6283288676

Therefore, the lowest common multiple of 409,431,268,532 is 6283288676.

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.

409 x 431 x 268 x 532 = 25133154704

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.

409 : 1, 409

431 : 1, 431

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,431,268,532, is 1.

Now, the common factors can be found like this.

409:409

431:431

268:2x 2x 67

532:2x 2x 7x 19

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 = 25133154704/(1x4)

LCM = 25133154704/4

LCM = 6283288676

Thus, we can understand that the LCM of 409,431,268,532 is 6283288676.

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

• LCM of 689, 848, 858, 330
• LCM of 515, 986, 119, 944
• LCM of 777, 616, 885, 440
• LCM of 509, 192, 811, 515
• LCM of 869, 685, 717, 630

1. What is the LCM of 409, 431, 268, 532?

Answer: LCM of 409, 431, 268, 532 is 6283288676.

2. How to calculate the LCM of 409, 431, 268, 532?

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 409, 431, 268, 532.

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}.