Given numbers are 465,141,109

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

The LCM of 465,141,109 is 2382195.

Find LCM of 465,141,109 with Prime Factorization

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

3 x 155 x 47 x 109 = 2382195

Therefore, the lowest common multiple of 465,141,109 is 2382195.

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.

465 x 141 x 109 = 7146585

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

141 : 1, 3, 47, 141

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,141,109, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

141:3x 47

109:109

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

3 = 3

Therefore, the value for common factors is 3.

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 = 7146585/(1x3)

LCM = 7146585/3

LCM = 2382195

Thus, we can understand that the LCM of 465,141,109 is 2382195.

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

• LCM of 816, 420, 986
• LCM of 214, 846, 103
• LCM of 343, 260, 702
• LCM of 853, 366, 671
• LCM of 293, 611, 206

1. What is the LCM of 465, 141, 109?

Answer: LCM of 465, 141, 109 is 2382195.

2. How to calculate the LCM of 465, 141, 109?

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 465, 141, 109.

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}.