Given numbers are 269,646,538

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

The LCM of 269,646,538 is 173774.

Find LCM of 269,646,538 with Prime Factorization

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

2 x 269 x 1 x 323 x 1 = 173774

Therefore, the lowest common multiple of 269,646,538 is 173774.

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.

269 x 646 x 538 = 93490412

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.

269 : 1, 269

646 : 1, 2, 17, 19, 34, 38, 323, 646

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,646,538, is 1.

Now, the common factors can be found like this.

269:269

646:2x 17x 19

538:2x 269

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

2x 269 = 538

Therefore, the value for common factors is 538.

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 = 93490412/(1x538)

LCM = 93490412/538

LCM = 173774

Thus, we can understand that the LCM of 269,646,538 is 173774.

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

• LCM of 523, 659, 898
• LCM of 396, 338, 211
• LCM of 104, 712, 358
• LCM of 419, 287, 134
• LCM of 873, 574, 903

1. What is the LCM of 269, 646, 538?

Answer: LCM of 269, 646, 538 is 173774.

2. How to calculate the LCM of 269, 646, 538?

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 269, 646, 538.

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}.