Given numbers are 271,480,268,894,459

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

The LCM of 271,480,268,894,459 is 198684061920.

Find LCM of 271,480,268,894,459 with Prime Factorization

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

2 x 2 x 3 x 271 x 40 x 67 x 149 x 153 = 198684061920

Therefore, the lowest common multiple of 271,480,268,894,459 is 198684061920.

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.

271 x 480 x 268 x 894 x 459 = 14305252458240

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.

271 : 1, 271

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

268 : 1, 2, 4, 67, 134, 268

894 : 1, 2, 3, 6, 149, 298, 447, 894

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,480,268,894,459, is 1.

Now, the common factors can be found like this.

271:271

480:2x 2x 2x 2x 2x 3x 5

268:2x 2x 67

894:2x 3x 149

459:3x 3x 3x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 14305252458240/(1x72)

LCM = 14305252458240/72

LCM = 198684061920

Thus, we can understand that the LCM of 271,480,268,894,459 is 198684061920.

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

• LCM of 305, 263, 139, 408, 574
• LCM of 890, 949, 906, 309, 347
• LCM of 860, 303, 165, 186, 208
• LCM of 267, 361, 475, 894, 962
• LCM of 736, 733, 391, 354, 892

1. What is the LCM of 271, 480, 268, 894, 459?

Answer: LCM of 271, 480, 268, 894, 459 is 198684061920.

2. How to calculate the LCM of 271, 480, 268, 894, 459?

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 271, 480, 268, 894, 459.

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}.