Given numbers are 960,685,484,700,289

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

The LCM of 960,685,484,700,289 is 160969300800.

Find LCM of 960,685,484,700,289 with Prime Factorization

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

2 x 2 x 5 x 48 x 137 x 121 x 35 x 289 = 160969300800

Therefore, the lowest common multiple of 960,685,484,700,289 is 160969300800.

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 685 x 484 x 700 x 289 = 64387720320000

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

685 : 1, 5, 137, 685

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,685,484,700,289, is 1.

Now, the common factors can be found like this.

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

685:5x 137

484:2x 2x 11x 11

700:2x 2x 5x 5x 7

289:17x 17

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 64387720320000/(1x400)

LCM = 64387720320000/400

LCM = 160969300800

Thus, we can understand that the LCM of 960,685,484,700,289 is 160969300800.

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

• LCM of 944, 227, 973, 775, 389
• LCM of 439, 191, 400, 518, 852
• LCM of 309, 105, 597, 565, 877
• LCM of 388, 252, 691, 348, 750
• LCM of 470, 407, 905, 874, 851

1. What is the LCM of 960, 685, 484, 700, 289?

Answer: LCM of 960, 685, 484, 700, 289 is 160969300800.

2. How to calculate the LCM of 960, 685, 484, 700, 289?

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, 685, 484, 700, 289.

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}.