Given numbers are 305,771,990,510,550

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

The LCM of 305,771,990,510,550 is 1319219550.

Find LCM of 305,771,990,510,550 with Prime Factorization

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

2 x 3 x 5 x 11 x 61 x 257 x 3 x 17 x 5 = 1319219550

Therefore, the lowest common multiple of 305,771,990,510,550 is 1319219550.

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.

305 x 771 x 990 x 510 x 550 = 65301367725000

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.

305 : 1, 5, 61, 305

771 : 1, 3, 257, 771

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,771,990,510,550, is 1.

Now, the common factors can be found like this.

305:5x 61

771:3x 257

990:2x 3x 3x 5x 11

510:2x 3x 5x 17

550:2x 5x 5x 11

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 3x 3x 5x 5x 5x 11 = 49500

Therefore, the value for common factors is 49500.

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 = 65301367725000/(1x49500)

LCM = 65301367725000/49500

LCM = 1319219550

Thus, we can understand that the LCM of 305,771,990,510,550 is 1319219550.

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

• LCM of 635, 323, 640, 283, 454
• LCM of 920, 153, 163, 916, 553
• LCM of 984, 781, 762, 676, 254
• LCM of 804, 699, 647, 846, 828
• LCM of 215, 387, 788, 341, 965

1. What is the LCM of 305, 771, 990, 510, 550?

Answer: LCM of 305, 771, 990, 510, 550 is 1319219550.

2. How to calculate the LCM of 305, 771, 990, 510, 550?

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 305, 771, 990, 510, 550.

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}.