Given numbers are 317,254,634,646,560

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

The LCM of 317,254,634,646,560 is 7282047920.

Find LCM of 317,254,634,646,560 with Prime Factorization

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

2 x 317 x 1 x 127 x 1 x 323 x 280 = 7282047920

Therefore, the lowest common multiple of 317,254,634,646,560 is 7282047920.

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 254 x 634 x 646 x 560 = 18467273525120

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

254 : 1, 2, 127, 254

634 : 1, 2, 317, 634

646 : 1, 2, 17, 19, 34, 38, 323, 646

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,254,634,646,560, is 1.

Now, the common factors can be found like this.

317:317

254:2x 127

634:2x 317

646:2x 17x 19

560:2x 2x 2x 2x 5x 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 317 = 2536

Therefore, the value for common factors is 2536.

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 = 18467273525120/(1x2536)

LCM = 18467273525120/2536

LCM = 7282047920

Thus, we can understand that the LCM of 317,254,634,646,560 is 7282047920.

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

• LCM of 441, 399, 984, 997, 763
• LCM of 964, 709, 520, 762, 527
• LCM of 782, 412, 789, 553, 192
• LCM of 167, 321, 530, 419, 848
• LCM of 695, 491, 853, 670, 725

1. What is the LCM of 317, 254, 634, 646, 560?

Answer: LCM of 317, 254, 634, 646, 560 is 7282047920.

2. How to calculate the LCM of 317, 254, 634, 646, 560?

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, 254, 634, 646, 560.

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}.