Given numbers are 414,791,338,112,115

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

The LCM of 414,791,338,112,115 is 2213724240.

Find LCM of 414,791,338,112,115 with Prime Factorization

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

2 x 7 x 23 x 9 x 113 x 169 x 8 x 5 = 2213724240

Therefore, the lowest common multiple of 414,791,338,112,115 is 2213724240.

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.

414 x 791 x 338 x 112 x 115 = 1425638410560

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.

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

791 : 1, 7, 113, 791

338 : 1, 2, 13, 26, 169, 338

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

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,791,338,112,115, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

791:7x 113

338:2x 13x 13

112:2x 2x 2x 2x 7

115:5x 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 7x 23 = 644

Therefore, the value for common factors is 644.

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 = 1425638410560/(1x644)

LCM = 1425638410560/644

LCM = 2213724240

Thus, we can understand that the LCM of 414,791,338,112,115 is 2213724240.

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

• LCM of 239, 555, 601, 806, 255
• LCM of 311, 246, 913, 321, 958
• LCM of 888, 130, 286, 535, 909
• LCM of 462, 217, 645, 196, 258
• LCM of 788, 384, 791, 878, 496

1. What is the LCM of 414, 791, 338, 112, 115?

Answer: LCM of 414, 791, 338, 112, 115 is 2213724240.

2. How to calculate the LCM of 414, 791, 338, 112, 115?

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 414, 791, 338, 112, 115.

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}.