Given numbers are 504,979,728,720

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

The LCM of 504,979,728,720 is 64144080.

Find LCM of 504,979,728,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 1 x 979 x 13 x 10 = 64144080

Therefore, the lowest common multiple of 504,979,728,720 is 64144080.

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.

504 x 979 x 728 x 720 = 258628930560

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

979 : 1, 11, 89, 979

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,979,728,720, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

979:11x 89

728:2x 2x 2x 7x 13

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

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 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 258628930560/(1x4032)

LCM = 258628930560/4032

LCM = 64144080

Thus, we can understand that the LCM of 504,979,728,720 is 64144080.

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

• LCM of 911, 344, 286, 250
• LCM of 342, 867, 279, 338
• LCM of 862, 436, 298, 676
• LCM of 747, 503, 179, 469
• LCM of 588, 625, 525, 973

1. What is the LCM of 504, 979, 728, 720?

Answer: LCM of 504, 979, 728, 720 is 64144080.

2. How to calculate the LCM of 504, 979, 728, 720?

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 504, 979, 728, 720.

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}.