Given numbers are 512,489,343,784

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

The LCM of 512,489,343,784 is 85876224.

Find LCM of 512,489,343,784 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 7 x 32 x 489 x 1 x 7 = 85876224

Therefore, the lowest common multiple of 512,489,343,784 is 85876224.

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.

512 x 489 x 343 x 784 = 67326959616

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.

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

489 : 1, 3, 163, 489

343 : 1, 7, 49, 343

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,489,343,784, is 1.

Now, the common factors can be found like this.

512:2x 2x 2x 2x 2x 2x 2x 2x 2

489:3x 163

343:7x 7x 7

784:2x 2x 2x 2x 7x 7

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 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 67326959616/(1x784)

LCM = 67326959616/784

LCM = 85876224

Thus, we can understand that the LCM of 512,489,343,784 is 85876224.

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

• LCM of 293, 569, 630, 997
• LCM of 970, 849, 209, 314
• LCM of 382, 174, 849, 111
• LCM of 148, 165, 898, 772
• LCM of 450, 457, 807, 272

1. What is the LCM of 512, 489, 343, 784?

Answer: LCM of 512, 489, 343, 784 is 85876224.

2. How to calculate the LCM of 512, 489, 343, 784?

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 512, 489, 343, 784.

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}.