Given numbers are 538,269,109,413

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

The LCM of 538,269,109,413 is 24219146.

Find LCM of 538,269,109,413 with Prime Factorization

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

269 x 2 x 1 x 109 x 413 = 24219146

Therefore, the lowest common multiple of 538,269,109,413 is 24219146.

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.

538 x 269 x 109 x 413 = 6514950274

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.

538 : 1, 2, 269, 538

269 : 1, 269

109 : 1, 109

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,269,109,413, is 1.

Now, the common factors can be found like this.

538:2x 269

269:269

109:109

413:7x 59

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

269 = 269

Therefore, the value for common factors is 269.

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 = 6514950274/(1x269)

LCM = 6514950274/269

LCM = 24219146

Thus, we can understand that the LCM of 538,269,109,413 is 24219146.

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

• LCM of 811, 847, 682, 331
• LCM of 373, 253, 456, 623
• LCM of 697, 809, 232, 455
• LCM of 920, 793, 555, 400
• LCM of 816, 609, 866, 803

1. What is the LCM of 538, 269, 109, 413?

Answer: LCM of 538, 269, 109, 413 is 24219146.

2. How to calculate the LCM of 538, 269, 109, 413?

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 538, 269, 109, 413.

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}.