Given numbers are 303,545,852,574,816

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

The LCM of 303,545,852,574,816 is 915268003440.

Find LCM of 303,545,852,574,816 with Prime Factorization

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

2 x 2 x 3 x 101 x 545 x 71 x 287 x 68 = 915268003440

Therefore, the lowest common multiple of 303,545,852,574,816 is 915268003440.

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.

303 x 545 x 852 x 574 x 816 = 65899296247680

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.

303 : 1, 3, 101, 303

545 : 1, 5, 109, 545

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

574 : 1, 2, 7, 14, 41, 82, 287, 574

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,545,852,574,816, is 1.

Now, the common factors can be found like this.

303:3x 101

545:5x 109

852:2x 2x 3x 71

574:2x 7x 41

816:2x 2x 2x 2x 3x 17

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 65899296247680/(1x72)

LCM = 65899296247680/72

LCM = 915268003440

Thus, we can understand that the LCM of 303,545,852,574,816 is 915268003440.

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

• LCM of 811, 470, 999, 581, 820
• LCM of 953, 341, 530, 166, 571
• LCM of 474, 601, 307, 404, 511
• LCM of 124, 912, 322, 608, 502
• LCM of 186, 410, 146, 128, 727

1. What is the LCM of 303, 545, 852, 574, 816?

Answer: LCM of 303, 545, 852, 574, 816 is 915268003440.

2. How to calculate the LCM of 303, 545, 852, 574, 816?

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 303, 545, 852, 574, 816.

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}.