Given numbers are 960,313,816,855,497

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

The LCM of 960,313,816,855,497 is 144709064640.

Find LCM of 960,313,816,855,497 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 4 x 313 x 17 x 57 x 497 = 144709064640

Therefore, the lowest common multiple of 960,313,816,855,497 is 144709064640.

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.

960 x 313 x 816 x 855 x 497 = 104190526540800

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.

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

313 : 1, 313

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,313,816,855,497, is 1.

Now, the common factors can be found like this.

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

313:313

816:2x 2x 2x 2x 3x 17

855:3x 3x 5x 19

497:7x 71

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 104190526540800/(1x720)

LCM = 104190526540800/720

LCM = 144709064640

Thus, we can understand that the LCM of 960,313,816,855,497 is 144709064640.

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

• LCM of 266, 156, 189, 701, 517
• LCM of 209, 477, 878, 376, 714
• LCM of 317, 999, 841, 739, 664
• LCM of 904, 769, 306, 535, 250
• LCM of 406, 928, 280, 487, 659

1. What is the LCM of 960, 313, 816, 855, 497?

Answer: LCM of 960, 313, 816, 855, 497 is 144709064640.

2. How to calculate the LCM of 960, 313, 816, 855, 497?

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 960, 313, 816, 855, 497.

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}.