Given numbers are 517,345,300,239,780

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

The LCM of 517,345,300,239,780 is 11083601100.

Find LCM of 517,345,300,239,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 517 x 23 x 5 x 239 x 13 = 11083601100

Therefore, the lowest common multiple of 517,345,300,239,780 is 11083601100.

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.

517 x 345 x 300 x 239 x 780 = 9975240990000

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.

517 : 1, 11, 47, 517

345 : 1, 3, 5, 15, 23, 69, 115, 345

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

239 : 1, 239

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,345,300,239,780, is 1.

Now, the common factors can be found like this.

517:11x 47

345:3x 5x 23

300:2x 2x 3x 5x 5

239:239

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 9975240990000/(1x900)

LCM = 9975240990000/900

LCM = 11083601100

Thus, we can understand that the LCM of 517,345,300,239,780 is 11083601100.

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

• LCM of 709, 475, 236, 404, 277
• LCM of 525, 408, 139, 256, 951
• LCM of 901, 273, 869, 518, 226
• LCM of 951, 279, 456, 540, 364
• LCM of 460, 460, 106, 565, 319

1. What is the LCM of 517, 345, 300, 239, 780?

Answer: LCM of 517, 345, 300, 239, 780 is 11083601100.

2. How to calculate the LCM of 517, 345, 300, 239, 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 517, 345, 300, 239, 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}.