Given numbers are 484,204,503,146,306

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

The LCM of 484,204,503,146,306 is 2719115388.

Find LCM of 484,204,503,146,306 with Prime Factorization

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

2 x 2 x 3 x 17 x 121 x 1 x 503 x 73 x 3 = 2719115388

Therefore, the lowest common multiple of 484,204,503,146,306 is 2719115388.

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.

484 x 204 x 503 x 146 x 306 = 2218798156608

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

503 : 1, 503

146 : 1, 2, 73, 146

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,204,503,146,306, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

204:2x 2x 3x 17

503:503

146:2x 73

306:2x 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 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 2218798156608/(1x816)

LCM = 2218798156608/816

LCM = 2719115388

Thus, we can understand that the LCM of 484,204,503,146,306 is 2719115388.

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

• LCM of 379, 476, 949, 108, 811
• LCM of 923, 593, 240, 500, 129
• LCM of 340, 978, 757, 436, 457
• LCM of 824, 556, 699, 353, 495
• LCM of 513, 333, 271, 985, 355

1. What is the LCM of 484, 204, 503, 146, 306?

Answer: LCM of 484, 204, 503, 146, 306 is 2719115388.

2. How to calculate the LCM of 484, 204, 503, 146, 306?

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 484, 204, 503, 146, 306.

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}.