Given numbers are 442,649,754,292,204

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

The LCM of 442,649,754,292,204 is 3643670316.

Find LCM of 442,649,754,292,204 with Prime Factorization

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

2 x 2 x 13 x 17 x 1 x 649 x 29 x 73 x 3 = 3643670316

Therefore, the lowest common multiple of 442,649,754,292,204 is 3643670316.

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.

442 x 649 x 754 x 292 x 204 = 12884018237376

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

649 : 1, 11, 59, 649

754 : 1, 2, 13, 26, 29, 58, 377, 754

292 : 1, 2, 4, 73, 146, 292

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,649,754,292,204, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

649:11x 59

754:2x 13x 29

292:2x 2x 73

204:2x 2x 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 2x 13x 17 = 3536

Therefore, the value for common factors is 3536.

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 = 12884018237376/(1x3536)

LCM = 12884018237376/3536

LCM = 3643670316

Thus, we can understand that the LCM of 442,649,754,292,204 is 3643670316.

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

• LCM of 272, 199, 549, 754, 442
• LCM of 945, 591, 343, 876, 117
• LCM of 123, 231, 433, 417, 500
• LCM of 999, 904, 962, 338, 251
• LCM of 295, 846, 117, 360, 310

1. What is the LCM of 442, 649, 754, 292, 204?

Answer: LCM of 442, 649, 754, 292, 204 is 3643670316.

2. How to calculate the LCM of 442, 649, 754, 292, 204?

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 442, 649, 754, 292, 204.

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}.