Given numbers are 510,378,520,919,849

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

The LCM of 510,378,520,919,849 is 434526248520.

Find LCM of 510,378,520,919,849 with Prime Factorization

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

2 x 3 x 5 x 17 x 63 x 52 x 919 x 283 = 434526248520

Therefore, the lowest common multiple of 510,378,520,919,849 is 434526248520.

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.

510 x 378 x 520 x 919 x 849 = 78214724733600

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.

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

919 : 1, 919

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,378,520,919,849, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

378:2x 3x 3x 3x 7

520:2x 2x 2x 5x 13

919:919

849:3x 283

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 5 = 180

Therefore, the value for common factors is 180.

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 = 78214724733600/(1x180)

LCM = 78214724733600/180

LCM = 434526248520

Thus, we can understand that the LCM of 510,378,520,919,849 is 434526248520.

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

• LCM of 398, 640, 885, 681, 598
• LCM of 739, 558, 603, 144, 554
• LCM of 321, 843, 358, 706, 792
• LCM of 835, 584, 489, 802, 272
• LCM of 305, 143, 843, 213, 515

1. What is the LCM of 510, 378, 520, 919, 849?

Answer: LCM of 510, 378, 520, 919, 849 is 434526248520.

2. How to calculate the LCM of 510, 378, 520, 919, 849?

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 510, 378, 520, 919, 849.

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}.