Given numbers are 109,105,413

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

The LCM of 109,105,413 is 675255.

Find LCM of 109,105,413 with Prime Factorization

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

7 x 109 x 15 x 59 = 675255

Therefore, the lowest common multiple of 109,105,413 is 675255.

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.

109 x 105 x 413 = 4726785

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.

109 : 1, 109

105 : 1, 3, 5, 7, 15, 21, 35, 105

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,105,413, is 1.

Now, the common factors can be found like this.

109:109

105:3x 5x 7

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7 = 7

Therefore, the value for common factors is 7.

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 = 4726785/(1x7)

LCM = 4726785/7

LCM = 675255

Thus, we can understand that the LCM of 109,105,413 is 675255.

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

• LCM of 159, 351, 812
• LCM of 599, 655, 423
• LCM of 608, 632, 705
• LCM of 875, 984, 770
• LCM of 793, 654, 263

1. What is the LCM of 109, 105, 413?

Answer: LCM of 109, 105, 413 is 675255.

2. How to calculate the LCM of 109, 105, 413?

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 109, 105, 413.

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}.