Given numbers are 138,698,209,269

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

The LCM of 138,698,209,269 is 2707715802.

Find LCM of 138,698,209,269 with Prime Factorization

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

2 x 69 x 349 x 209 x 269 = 2707715802

Therefore, the lowest common multiple of 138,698,209,269 is 2707715802.

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.

138 x 698 x 209 x 269 = 5415431604

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

698 : 1, 2, 349, 698

209 : 1, 11, 19, 209

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,698,209,269, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

698:2x 349

209:11x 19

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 5415431604/(1x2)

LCM = 5415431604/2

LCM = 2707715802

Thus, we can understand that the LCM of 138,698,209,269 is 2707715802.

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

• LCM of 972, 669, 152, 270
• LCM of 764, 656, 403, 406
• LCM of 523, 706, 602, 386
• LCM of 146, 913, 294, 190
• LCM of 478, 463, 784, 531

1. What is the LCM of 138, 698, 209, 269?

Answer: LCM of 138, 698, 209, 269 is 2707715802.

2. How to calculate the LCM of 138, 698, 209, 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 138, 698, 209, 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}.