Given numbers are 306,180,845,447,296

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

The LCM of 306,180,845,447,296 is 5701985640.

Find LCM of 306,180,845,447,296 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 17 x 1 x 169 x 149 x 74 = 5701985640

Therefore, the lowest common multiple of 306,180,845,447,296 is 5701985640.

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.

306 x 180 x 845 x 447 x 296 = 6158144491200

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

845 : 1, 5, 13, 65, 169, 845

447 : 1, 3, 149, 447

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,180,845,447,296, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

180:2x 2x 3x 3x 5

845:5x 13x 13

447:3x 149

296:2x 2x 2x 37

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 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 6158144491200/(1x1080)

LCM = 6158144491200/1080

LCM = 5701985640

Thus, we can understand that the LCM of 306,180,845,447,296 is 5701985640.

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

• LCM of 951, 881, 213, 207, 507
• LCM of 908, 146, 613, 639, 491
• LCM of 908, 126, 641, 989, 618
• LCM of 353, 264, 487, 386, 394
• LCM of 537, 415, 403, 762, 882

1. What is the LCM of 306, 180, 845, 447, 296?

Answer: LCM of 306, 180, 845, 447, 296 is 5701985640.

2. How to calculate the LCM of 306, 180, 845, 447, 296?

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 306, 180, 845, 447, 296.

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}.