Given numbers are 112,414,648,390

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

The LCM of 112,414,648,390 is 13562640.

Find LCM of 112,414,648,390 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 14 x 23 x 9 x 65 = 13562640

Therefore, the lowest common multiple of 112,414,648,390 is 13562640.

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.

112 x 414 x 648 x 390 = 11718120960

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,414,648,390, is 2.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

414:2x 3x 3x 23

648:2x 2x 2x 3x 3x 3x 3

390:2x 3x 5x 13

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 11718120960/(2x432)

LCM = 11718120960/864

LCM = 13562640

Thus, we can understand that the LCM of 112,414,648,390 is 13562640.

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

• LCM of 502, 504, 456, 950
• LCM of 963, 619, 623, 769
• LCM of 233, 340, 296, 247
• LCM of 925, 825, 807, 798
• LCM of 830, 535, 937, 610

1. What is the LCM of 112, 414, 648, 390?

Answer: LCM of 112, 414, 648, 390 is 13562640.

2. How to calculate the LCM of 112, 414, 648, 390?

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 112, 414, 648, 390.

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}.