Given numbers are 676,541,984,447,828

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

The LCM of 676,541,984,447,828 is 924941844216.

Find LCM of 676,541,984,447,828 with Prime Factorization

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

2 x 2 x 3 x 169 x 541 x 82 x 149 x 69 = 924941844216

Therefore, the lowest common multiple of 676,541,984,447,828 is 924941844216.

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.

676 x 541 x 984 x 447 x 828 = 133191625567104

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

541 : 1, 541

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

447 : 1, 3, 149, 447

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,541,984,447,828, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

541:541

984:2x 2x 2x 3x 41

447:3x 149

828:2x 2x 3x 3x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 133191625567104/(1x144)

LCM = 133191625567104/144

LCM = 924941844216

Thus, we can understand that the LCM of 676,541,984,447,828 is 924941844216.

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

• LCM of 412, 320, 544, 321, 974
• LCM of 259, 715, 849, 298, 651
• LCM of 224, 507, 359, 888, 973
• LCM of 478, 455, 639, 941, 790
• LCM of 920, 520, 658, 895, 833

1. What is the LCM of 676, 541, 984, 447, 828?

Answer: LCM of 676, 541, 984, 447, 828 is 924941844216.

2. How to calculate the LCM of 676, 541, 984, 447, 828?

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 676, 541, 984, 447, 828.

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}.