Given numbers are 123,313,189

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

The LCM of 123,313,189 is 2425437.

Find LCM of 123,313,189 with Prime Factorization

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

3 x 41 x 313 x 63 = 2425437

Therefore, the lowest common multiple of 123,313,189 is 2425437.

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.

123 x 313 x 189 = 7276311

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.

123 : 1, 3, 41, 123

313 : 1, 313

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,313,189, is 1.

Now, the common factors can be found like this.

123:3x 41

313:313

189:3x 3x 3x 7

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 = 7276311/(1x3)

LCM = 7276311/3

LCM = 2425437

Thus, we can understand that the LCM of 123,313,189 is 2425437.

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

• LCM of 431, 780, 811
• LCM of 711, 539, 877
• LCM of 684, 835, 862
• LCM of 354, 888, 998
• LCM of 314, 902, 558

1. What is the LCM of 123, 313, 189?

Answer: LCM of 123, 313, 189 is 2425437.

2. How to calculate the LCM of 123, 313, 189?

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 123, 313, 189.

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}.