Given numbers are 904,624,407,556,296

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

The LCM of 904,624,407,556,296 is 3989075376.

Find LCM of 904,624,407,556,296 with Prime Factorization

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

2 x 2 x 2 x 37 x 113 x 78 x 11 x 139 x 1 = 3989075376

Therefore, the lowest common multiple of 904,624,407,556,296 is 3989075376.

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.

904 x 624 x 407 x 556 x 296 = 37784521961472

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

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

407 : 1, 11, 37, 407

556 : 1, 2, 4, 139, 278, 556

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,624,407,556,296, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

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

407:11x 37

556:2x 2x 139

296:2x 2x 2x 37

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 2x 2x 2x 37 = 9472

Therefore, the value for common factors is 9472.

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 = 37784521961472/(1x9472)

LCM = 37784521961472/9472

LCM = 3989075376

Thus, we can understand that the LCM of 904,624,407,556,296 is 3989075376.

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

• LCM of 885, 117, 682, 121, 457
• LCM of 576, 196, 555, 232, 870
• LCM of 196, 776, 317, 114, 874
• LCM of 726, 867, 665, 120, 727
• LCM of 580, 790, 678, 976, 890

1. What is the LCM of 904, 624, 407, 556, 296?

Answer: LCM of 904, 624, 407, 556, 296 is 3989075376.

2. How to calculate the LCM of 904, 624, 407, 556, 296?

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 904, 624, 407, 556, 296.

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}.