Given numbers are 513,133,626,258,960

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

The LCM of 513,133,626,258,960 is 15466006080.

Find LCM of 513,133,626,258,960 with Prime Factorization

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

2 x 3 x 19 x 9 x 7 x 313 x 43 x 160 = 15466006080

Therefore, the lowest common multiple of 513,133,626,258,960 is 15466006080.

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.

513 x 133 x 626 x 258 x 960 = 10578748158720

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

133 : 1, 7, 19, 133

626 : 1, 2, 313, 626

258 : 1, 2, 3, 6, 43, 86, 129, 258

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,133,626,258,960, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

133:7x 19

626:2x 313

258:2x 3x 43

960:2x 2x 2x 2x 2x 2x 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 3x 3x 19 = 684

Therefore, the value for common factors is 684.

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 = 10578748158720/(1x684)

LCM = 10578748158720/684

LCM = 15466006080

Thus, we can understand that the LCM of 513,133,626,258,960 is 15466006080.

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

• LCM of 625, 147, 893, 753, 415
• LCM of 503, 873, 786, 876, 104
• LCM of 476, 756, 444, 303, 928
• LCM of 654, 563, 990, 164, 570
• LCM of 208, 773, 622, 953, 544

1. What is the LCM of 513, 133, 626, 258, 960?

Answer: LCM of 513, 133, 626, 258, 960 is 15466006080.

2. How to calculate the LCM of 513, 133, 626, 258, 960?

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 513, 133, 626, 258, 960.

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}.