Given numbers are 312,467,414,876,368

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

The LCM of 312,467,414,876,368 is 1467822096.

Find LCM of 312,467,414,876,368 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 13 x 467 x 3 x 73 x 2 = 1467822096

Therefore, the lowest common multiple of 312,467,414,876,368 is 1467822096.

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 467 x 414 x 876 x 368 = 19445707127808

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

467 : 1, 467

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,467,414,876,368, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

467:467

414:2x 3x 3x 23

876:2x 2x 3x 73

368:2x 2x 2x 2x 23

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 3x 3x 23 = 13248

Therefore, the value for common factors is 13248.

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 = 19445707127808/(1x13248)

LCM = 19445707127808/13248

LCM = 1467822096

Thus, we can understand that the LCM of 312,467,414,876,368 is 1467822096.

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

• LCM of 347, 434, 906, 291, 241
• LCM of 600, 897, 193, 441, 939
• LCM of 417, 685, 670, 696, 163
• LCM of 145, 951, 630, 594, 781
• LCM of 191, 185, 532, 575, 941

1. What is the LCM of 312, 467, 414, 876, 368?

Answer: LCM of 312, 467, 414, 876, 368 is 1467822096.

2. How to calculate the LCM of 312, 467, 414, 876, 368?

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, 467, 414, 876, 368.

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}.