Given numbers are 107,226,434,190,342

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

The LCM of 107,226,434,190,342 is 4486607370.

Find LCM of 107,226,434,190,342 with Prime Factorization

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

2 x 19 x 107 x 113 x 217 x 5 x 9 = 4486607370

Therefore, the lowest common multiple of 107,226,434,190,342 is 4486607370.

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.

107 x 226 x 434 x 190 x 342 = 681964320240

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.

107 : 1, 107

226 : 1, 2, 113, 226

434 : 1, 2, 7, 14, 31, 62, 217, 434

190 : 1, 2, 5, 10, 19, 38, 95, 190

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,226,434,190,342, is 1.

Now, the common factors can be found like this.

107:107

226:2x 113

434:2x 7x 31

190:2x 5x 19

342:2x 3x 3x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 681964320240/(1x152)

LCM = 681964320240/152

LCM = 4486607370

Thus, we can understand that the LCM of 107,226,434,190,342 is 4486607370.

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

• LCM of 406, 620, 144, 455, 117
• LCM of 993, 504, 221, 686, 261
• LCM of 383, 277, 342, 176, 361
• LCM of 480, 870, 220, 367, 144
• LCM of 552, 565, 545, 810, 289

1. What is the LCM of 107, 226, 434, 190, 342?

Answer: LCM of 107, 226, 434, 190, 342 is 4486607370.

2. How to calculate the LCM of 107, 226, 434, 190, 342?

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 107, 226, 434, 190, 342.

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}.