Given numbers are 510,420,264,780

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

The LCM of 510,420,264,780 is 2042040.

Find LCM of 510,420,264,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 7 x 22 x 13 = 2042040

Therefore, the lowest common multiple of 510,420,264,780 is 2042040.

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 420 x 264 x 780 = 44108064000

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,420,264,780, is 6.

Now, the common factors can be found like this.

510:2x 3x 5x 17

420:2x 2x 3x 5x 7

264:2x 2x 2x 3x 11

780:2x 2x 3x 5x 13

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 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 44108064000/(6x3600)

LCM = 44108064000/21600

LCM = 2042040

Thus, we can understand that the LCM of 510,420,264,780 is 2042040.

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

• LCM of 422, 790, 123, 332
• LCM of 497, 558, 487, 862
• LCM of 239, 997, 810, 968
• LCM of 196, 504, 224, 888
• LCM of 973, 495, 105, 207

1. What is the LCM of 510, 420, 264, 780?

Answer: LCM of 510, 420, 264, 780 is 2042040.

2. How to calculate the LCM of 510, 420, 264, 780?

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, 420, 264, 780.

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}.