Given numbers are 312,212,468,696,804

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

The LCM of 312,212,468,696,804 is 96388344.

Find LCM of 312,212,468,696,804 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 53 x 3 x 29 x 67 = 96388344

Therefore, the lowest common multiple of 312,212,468,696,804 is 96388344.

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.

312 x 212 x 468 x 696 x 804 = 17322142076928

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.

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

212 : 1, 2, 4, 53, 106, 212

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,212,468,696,804, is 4.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

212:2x 2x 53

468:2x 2x 3x 3x 13

696:2x 2x 2x 3x 29

804:2x 2x 3x 67

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 3x 3x 3x 13 = 44928

Therefore, the value for common factors is 44928.

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 = 17322142076928/(4x44928)

LCM = 17322142076928/179712

LCM = 96388344

Thus, we can understand that the LCM of 312,212,468,696,804 is 96388344.

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

• LCM of 398, 973, 112, 858, 468
• LCM of 140, 755, 310, 369, 454
• LCM of 463, 559, 436, 186, 398
• LCM of 155, 345, 687, 861, 296
• LCM of 265, 391, 534, 425, 843

1. What is the LCM of 312, 212, 468, 696, 804?

Answer: LCM of 312, 212, 468, 696, 804 is 96388344.

2. How to calculate the LCM of 312, 212, 468, 696, 804?

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 312, 212, 468, 696, 804.

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}.