Given numbers are 365,311,219,387

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

The LCM of 365,311,219,387 is 43930305.

Find LCM of 365,311,219,387 with Prime Factorization

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

3 x 73 x 5 x 311 x 1 x 129 = 43930305

Therefore, the lowest common multiple of 365,311,219,387 is 43930305.

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.

365 x 311 x 219 x 387 = 9620736795

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.

365 : 1, 5, 73, 365

311 : 1, 311

219 : 1, 3, 73, 219

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,311,219,387, is 1.

Now, the common factors can be found like this.

365:5x 73

311:311

219:3x 73

387:3x 3x 43

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

3x 73 = 219

Therefore, the value for common factors is 219.

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 = 9620736795/(1x219)

LCM = 9620736795/219

LCM = 43930305

Thus, we can understand that the LCM of 365,311,219,387 is 43930305.

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

• LCM of 163, 298, 825, 691
• LCM of 843, 422, 478, 646
• LCM of 197, 834, 311, 235
• LCM of 706, 694, 785, 767
• LCM of 745, 998, 653, 857

1. What is the LCM of 365, 311, 219, 387?

Answer: LCM of 365, 311, 219, 387 is 43930305.

2. How to calculate the LCM of 365, 311, 219, 387?

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 365, 311, 219, 387.

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}.