Given numbers are 327,828,624,797,728

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

The LCM of 327,828,624,797,728 is 26182827216.

Find LCM of 327,828,624,797,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 109 x 69 x 2 x 797 x 7 = 26182827216

Therefore, the lowest common multiple of 327,828,624,797,728 is 26182827216.

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.

327 x 828 x 624 x 797 x 728 = 98028505096704

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.

327 : 1, 3, 109, 327

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

797 : 1, 797

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,828,624,797,728, is 1.

Now, the common factors can be found like this.

327:3x 109

828:2x 2x 3x 3x 23

624:2x 2x 2x 2x 3x 13

797:797

728:2x 2x 2x 7x 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 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 98028505096704/(1x3744)

LCM = 98028505096704/3744

LCM = 26182827216

Thus, we can understand that the LCM of 327,828,624,797,728 is 26182827216.

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

• LCM of 527, 640, 662, 831, 723
• LCM of 859, 555, 563, 773, 741
• LCM of 710, 975, 765, 858, 950
• LCM of 726, 175, 300, 141, 137
• LCM of 310, 405, 686, 224, 483

1. What is the LCM of 327, 828, 624, 797, 728?

Answer: LCM of 327, 828, 624, 797, 728 is 26182827216.

2. How to calculate the LCM of 327, 828, 624, 797, 728?

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 327, 828, 624, 797, 728.

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}.