Given numbers are 329,269,269,257

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

The LCM of 329,269,269,257 is 22744757.

Find LCM of 329,269,269,257 with Prime Factorization

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

269 x 329 x 1 x 1 x 257 = 22744757

Therefore, the lowest common multiple of 329,269,269,257 is 22744757.

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.

329 x 269 x 269 x 257 = 6118339633

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.

329 : 1, 7, 47, 329

269 : 1, 269

269 : 1, 269

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,269,269,257, is 1.

Now, the common factors can be found like this.

329:7x 47

269:269

269:269

257:257

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 = 6118339633/(1x269)

LCM = 6118339633/269

LCM = 22744757

Thus, we can understand that the LCM of 329,269,269,257 is 22744757.

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

• LCM of 434, 773, 268, 780
• LCM of 602, 713, 360, 489
• LCM of 969, 274, 702, 644
• LCM of 522, 814, 649, 517
• LCM of 331, 712, 406, 500

1. What is the LCM of 329, 269, 269, 257?

Answer: LCM of 329, 269, 269, 257 is 22744757.

2. How to calculate the LCM of 329, 269, 269, 257?

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 329, 269, 269, 257.

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}.