Given numbers are 510,632,720,230,829

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

The LCM of 510,632,720,230,829 is 18437026320.

Find LCM of 510,632,720,230,829 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 79 x 6 x 23 x 829 = 18437026320

Therefore, the lowest common multiple of 510,632,720,230,829 is 18437026320.

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 632 x 720 x 230 x 829 = 44248863168000

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

632 : 1, 2, 4, 8, 79, 158, 316, 632

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

230 : 1, 2, 5, 10, 23, 46, 115, 230

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,632,720,230,829, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

632:2x 2x 2x 79

720:2x 2x 2x 2x 3x 3x 5

230:2x 5x 23

829:829

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 44248863168000/(1x2400)

LCM = 44248863168000/2400

LCM = 18437026320

Thus, we can understand that the LCM of 510,632,720,230,829 is 18437026320.

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

• LCM of 466, 871, 540, 510, 563
• LCM of 945, 547, 191, 150, 246
• LCM of 366, 157, 241, 145, 630
• LCM of 755, 918, 135, 441, 709
• LCM of 207, 313, 423, 265, 385

1. What is the LCM of 510, 632, 720, 230, 829?

Answer: LCM of 510, 632, 720, 230, 829 is 18437026320.

2. How to calculate the LCM of 510, 632, 720, 230, 829?

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, 632, 720, 230, 829.

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}.