Given numbers are 804,660,269,614

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

The LCM of 804,660,269,614 is 3651820260.

Find LCM of 804,660,269,614 with Prime Factorization

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

2 x 2 x 3 x 67 x 55 x 269 x 307 = 3651820260

Therefore, the lowest common multiple of 804,660,269,614 is 3651820260.

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.

804 x 660 x 269 x 614 = 87643686240

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

269 : 1, 269

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,660,269,614, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

660:2x 2x 3x 5x 11

269:269

614:2x 307

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 3 = 24

Therefore, the value for common factors is 24.

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 = 87643686240/(1x24)

LCM = 87643686240/24

LCM = 3651820260

Thus, we can understand that the LCM of 804,660,269,614 is 3651820260.

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

• LCM of 981, 148, 469, 564
• LCM of 172, 579, 667, 484
• LCM of 968, 253, 198, 256
• LCM of 155, 583, 861, 340
• LCM of 580, 680, 400, 821

1. What is the LCM of 804, 660, 269, 614?

Answer: LCM of 804, 660, 269, 614 is 3651820260.

2. How to calculate the LCM of 804, 660, 269, 614?

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 804, 660, 269, 614.

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}.