Given numbers are 300,319,466,269

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

The LCM of 300,319,466,269 is 5998188900.

Find LCM of 300,319,466,269 with Prime Factorization

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

2 x 150 x 319 x 233 x 269 = 5998188900

Therefore, the lowest common multiple of 300,319,466,269 is 5998188900.

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.

300 x 319 x 466 x 269 = 11996377800

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

319 : 1, 11, 29, 319

466 : 1, 2, 233, 466

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,319,466,269, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

319:11x 29

466:2x 233

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 = 11996377800/(1x2)

LCM = 11996377800/2

LCM = 5998188900

Thus, we can understand that the LCM of 300,319,466,269 is 5998188900.

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

• LCM of 416, 301, 288, 985
• LCM of 152, 233, 706, 124
• LCM of 639, 654, 418, 787
• LCM of 725, 905, 488, 276
• LCM of 873, 868, 299, 483

1. What is the LCM of 300, 319, 466, 269?

Answer: LCM of 300, 319, 466, 269 is 5998188900.

2. How to calculate the LCM of 300, 319, 466, 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 300, 319, 466, 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}.