Given numbers are 269,536,351,538

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

The LCM of 269,536,351,538 is 50608584.

Find LCM of 269,536,351,538 with Prime Factorization

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

2 x 269 x 1 x 268 x 351 x 1 = 50608584

Therefore, the lowest common multiple of 269,536,351,538 is 50608584.

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 536 x 351 x 538 = 27227418192

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

351 : 1, 3, 9, 13, 27, 39, 117, 351

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,536,351,538, is 1.

Now, the common factors can be found like this.

269:269

536:2x 2x 2x 67

351:3x 3x 3x 13

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 = 27227418192/(1x538)

LCM = 27227418192/538

LCM = 50608584

Thus, we can understand that the LCM of 269,536,351,538 is 50608584.

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

• LCM of 109, 319, 779, 399
• LCM of 768, 688, 564, 374
• LCM of 127, 198, 134, 447
• LCM of 761, 704, 794, 765
• LCM of 859, 306, 491, 481

1. What is the LCM of 269, 536, 351, 538?

Answer: LCM of 269, 536, 351, 538 is 50608584.

2. How to calculate the LCM of 269, 536, 351, 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, 536, 351, 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}.