Given numbers are 312,414,584,682,336

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

The LCM of 312,414,584,682,336 is 7502551056.

Find LCM of 312,414,584,682,336 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 69 x 73 x 341 x 14 = 7502551056

Therefore, the lowest common multiple of 312,414,584,682,336 is 7502551056.

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 414 x 584 x 682 x 336 = 17285877633024

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

584 : 1, 2, 4, 8, 73, 146, 292, 584

682 : 1, 2, 11, 22, 31, 62, 341, 682

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,414,584,682,336, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

414:2x 3x 3x 23

584:2x 2x 2x 73

682:2x 11x 31

336:2x 2x 2x 2x 3x 7

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 3 = 1152

Therefore, the value for common factors is 1152.

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 = 17285877633024/(2x1152)

LCM = 17285877633024/2304

LCM = 7502551056

Thus, we can understand that the LCM of 312,414,584,682,336 is 7502551056.

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

• LCM of 312, 376, 284, 824, 884
• LCM of 784, 786, 798, 508, 829
• LCM of 963, 814, 693, 558, 162
• LCM of 456, 617, 651, 460, 308
• LCM of 605, 912, 326, 673, 784

1. What is the LCM of 312, 414, 584, 682, 336?

Answer: LCM of 312, 414, 584, 682, 336 is 7502551056.

2. How to calculate the LCM of 312, 414, 584, 682, 336?

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, 414, 584, 682, 336.

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}.