Given numbers are 269,409,442,746

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

The LCM of 269,409,442,746 is 18138722186.

Find LCM of 269,409,442,746 with Prime Factorization

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

2 x 269 x 409 x 221 x 373 = 18138722186

Therefore, the lowest common multiple of 269,409,442,746 is 18138722186.

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 409 x 442 x 746 = 36277444372

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

409 : 1, 409

442 : 1, 2, 13, 17, 26, 34, 221, 442

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,409,442,746, is 1.

Now, the common factors can be found like this.

269:269

409:409

442:2x 13x 17

746:2x 373

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 = 36277444372/(1x2)

LCM = 36277444372/2

LCM = 18138722186

Thus, we can understand that the LCM of 269,409,442,746 is 18138722186.

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

• LCM of 386, 702, 337, 637
• LCM of 528, 989, 512, 697
• LCM of 343, 494, 674, 846
• LCM of 221, 245, 772, 405
• LCM of 497, 882, 426, 814

1. What is the LCM of 269, 409, 442, 746?

Answer: LCM of 269, 409, 442, 746 is 18138722186.

2. How to calculate the LCM of 269, 409, 442, 746?

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, 409, 442, 746.

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}.