Given numbers are 397,786,988,828,304

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

The LCM of 397,786,988,828,304 is 42545054448.

Find LCM of 397,786,988,828,304 with Prime Factorization

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

2 x 2 x 3 x 19 x 397 x 131 x 13 x 69 x 4 = 42545054448

Therefore, the lowest common multiple of 397,786,988,828,304 is 42545054448.

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.

397 x 786 x 988 x 828 x 304 = 77602179313152

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.

397 : 1, 397

786 : 1, 2, 3, 6, 131, 262, 393, 786

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,786,988,828,304, is 1.

Now, the common factors can be found like this.

397:397

786:2x 3x 131

988:2x 2x 13x 19

828:2x 2x 3x 3x 23

304:2x 2x 2x 2x 19

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 19 = 1824

Therefore, the value for common factors is 1824.

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 = 77602179313152/(1x1824)

LCM = 77602179313152/1824

LCM = 42545054448

Thus, we can understand that the LCM of 397,786,988,828,304 is 42545054448.

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

• LCM of 983, 119, 390, 254, 944
• LCM of 913, 979, 901, 605, 449
• LCM of 596, 933, 739, 231, 139
• LCM of 694, 740, 684, 646, 617
• LCM of 288, 570, 536, 606, 529

1. What is the LCM of 397, 786, 988, 828, 304?

Answer: LCM of 397, 786, 988, 828, 304 is 42545054448.

2. How to calculate the LCM of 397, 786, 988, 828, 304?

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 397, 786, 988, 828, 304.

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}.