Given numbers are 317,288,970,917,463

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

The LCM of 317,288,970,917,463 is 18799392497760.

Find LCM of 317,288,970,917,463 with Prime Factorization

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

2 x 317 x 144 x 485 x 917 x 463 = 18799392497760

Therefore, the lowest common multiple of 317,288,970,917,463 is 18799392497760.

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.

317 x 288 x 970 x 917 x 463 = 37598784995520

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.

317 : 1, 317

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

970 : 1, 2, 5, 10, 97, 194, 485, 970

917 : 1, 7, 131, 917

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,288,970,917,463, is 1.

Now, the common factors can be found like this.

317:317

288:2x 2x 2x 2x 2x 3x 3

970:2x 5x 97

917:7x 131

463:463

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37598784995520/(1x2)

LCM = 37598784995520/2

LCM = 18799392497760

Thus, we can understand that the LCM of 317,288,970,917,463 is 18799392497760.

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

• LCM of 122, 105, 690, 514, 679
• LCM of 852, 347, 578, 334, 211
• LCM of 667, 587, 923, 603, 898
• LCM of 126, 788, 851, 109, 611
• LCM of 395, 940, 665, 500, 324

1. What is the LCM of 317, 288, 970, 917, 463?

Answer: LCM of 317, 288, 970, 917, 463 is 18799392497760.

2. How to calculate the LCM of 317, 288, 970, 917, 463?

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 317, 288, 970, 917, 463.

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}.