Given numbers are 914,490,865,742,880

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

The LCM of 914,490,865,742,880 is 180682846960.

Find LCM of 914,490,865,742,880 with Prime Factorization

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

2 x 5 x 7 x 457 x 7 x 173 x 53 x 88 = 180682846960

Therefore, the lowest common multiple of 914,490,865,742,880 is 180682846960.

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.

914 x 490 x 865 x 742 x 880 = 252955985744000

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.

914 : 1, 2, 457, 914

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

865 : 1, 5, 173, 865

742 : 1, 2, 7, 14, 53, 106, 371, 742

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,490,865,742,880, is 1.

Now, the common factors can be found like this.

914:2x 457

490:2x 5x 7x 7

865:5x 173

742:2x 7x 53

880:2x 2x 2x 2x 5x 11

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 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 252955985744000/(1x1400)

LCM = 252955985744000/1400

LCM = 180682846960

Thus, we can understand that the LCM of 914,490,865,742,880 is 180682846960.

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

• LCM of 372, 505, 981, 867, 285
• LCM of 462, 473, 485, 828, 846
• LCM of 252, 213, 322, 407, 202
• LCM of 817, 775, 602, 728, 299
• LCM of 150, 408, 329, 307, 513

1. What is the LCM of 914, 490, 865, 742, 880?

Answer: LCM of 914, 490, 865, 742, 880 is 180682846960.

2. How to calculate the LCM of 914, 490, 865, 742, 880?

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 914, 490, 865, 742, 880.

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}.