Given numbers are 313,984,664,624,684

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

The LCM of 313,984,664,624,684 is 37884863952.

Find LCM of 313,984,664,624,684 with Prime Factorization

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

2 x 2 x 2 x 3 x 313 x 41 x 83 x 26 x 57 = 37884863952

Therefore, the lowest common multiple of 313,984,664,624,684 is 37884863952.

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.

313 x 984 x 664 x 624 x 684 = 87286726545408

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.

313 : 1, 313

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

664 : 1, 2, 4, 8, 83, 166, 332, 664

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,984,664,624,684, is 1.

Now, the common factors can be found like this.

313:313

984:2x 2x 2x 3x 41

664:2x 2x 2x 83

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

684:2x 2x 3x 3x 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 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 87286726545408/(1x2304)

LCM = 87286726545408/2304

LCM = 37884863952

Thus, we can understand that the LCM of 313,984,664,624,684 is 37884863952.

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

• LCM of 166, 559, 713, 139, 194
• LCM of 181, 654, 362, 916, 154
• LCM of 874, 608, 487, 279, 463
• LCM of 960, 338, 620, 554, 350
• LCM of 487, 483, 820, 984, 259

1. What is the LCM of 313, 984, 664, 624, 684?

Answer: LCM of 313, 984, 664, 624, 684 is 37884863952.

2. How to calculate the LCM of 313, 984, 664, 624, 684?

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 313, 984, 664, 624, 684.

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}.