Given numbers are 247,800,960,676

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

The LCM of 247,800,960,676 is 15412800.

Find LCM of 247,800,960,676 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 13 x 19 x 5 x 6 x 13 = 15412800

Therefore, the lowest common multiple of 247,800,960,676 is 15412800.

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.

247 x 800 x 960 x 676 = 128234496000

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.

247 : 1, 13, 19, 247

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,800,960,676, is 1.

Now, the common factors can be found like this.

247:13x 19

800:2x 2x 2x 2x 2x 5x 5

960:2x 2x 2x 2x 2x 2x 3x 5

676:2x 2x 13x 13

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 2x 2x 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 128234496000/(1x8320)

LCM = 128234496000/8320

LCM = 15412800

Thus, we can understand that the LCM of 247,800,960,676 is 15412800.

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

• LCM of 436, 948, 530, 276
• LCM of 727, 665, 977, 521
• LCM of 892, 100, 873, 458
• LCM of 278, 861, 557, 713
• LCM of 844, 452, 665, 217

1. What is the LCM of 247, 800, 960, 676?

Answer: LCM of 247, 800, 960, 676 is 15412800.

2. How to calculate the LCM of 247, 800, 960, 676?

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 247, 800, 960, 676.

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}.