Given numbers are 460,550,299,307,920

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

The LCM of 460,550,299,307,920 is 201944600.

Find LCM of 460,550,299,307,920 with Prime Factorization

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

2 x 2 x 5 x 23 x 1 x 55 x 13 x 307 x 2 = 201944600

Therefore, the lowest common multiple of 460,550,299,307,920 is 201944600.

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.

460 x 550 x 299 x 307 x 920 = 21365738680000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

299 : 1, 13, 23, 299

307 : 1, 307

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,550,299,307,920, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

550:2x 5x 5x 11

299:13x 23

307:307

920:2x 2x 2x 5x 23

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 5x 5x 23x 23 = 105800

Therefore, the value for common factors is 105800.

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 = 21365738680000/(1x105800)

LCM = 21365738680000/105800

LCM = 201944600

Thus, we can understand that the LCM of 460,550,299,307,920 is 201944600.

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

• LCM of 739, 919, 745, 276, 154
• LCM of 624, 168, 588, 554, 996
• LCM of 351, 535, 347, 296, 872
• LCM of 835, 759, 904, 537, 309
• LCM of 308, 476, 758, 373, 573

1. What is the LCM of 460, 550, 299, 307, 920?

Answer: LCM of 460, 550, 299, 307, 920 is 201944600.

2. How to calculate the LCM of 460, 550, 299, 307, 920?

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 460, 550, 299, 307, 920.

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}.