Given numbers are 231,489,269

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

The LCM of 231,489,269 is 10128657.

Find LCM of 231,489,269 with Prime Factorization

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

3 x 77 x 163 x 269 = 10128657

Therefore, the lowest common multiple of 231,489,269 is 10128657.

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.

231 x 489 x 269 = 30385971

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

489 : 1, 3, 163, 489

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,489,269, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

489:3x 163

269:269

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 = 30385971/(1x3)

LCM = 30385971/3

LCM = 10128657

Thus, we can understand that the LCM of 231,489,269 is 10128657.

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

• LCM of 654, 100, 793
• LCM of 586, 559, 138
• LCM of 761, 277, 778
• LCM of 483, 349, 910
• LCM of 625, 509, 851

1. What is the LCM of 231, 489, 269?

Answer: LCM of 231, 489, 269 is 10128657.

2. How to calculate the LCM of 231, 489, 269?

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 231, 489, 269.

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}.