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LCM of 381, 614, 330, 510, 486

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 381, 614, 330, 510, 486 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 381, 614, 330, 510, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,614,330,510,486

Given numbers are 381,614,330,510,486

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

The LCM of 381,614,330,510,486 is 17716991490.

Find LCM of 381,614,330,510,486 with Prime Factorization


2 381, 614, 330, 510, 486
3 381, 307, 165, 255, 243
5 127, 307, 55, 85, 81
127, 307, 11, 17, 81

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

2 x 3 x 5 x 127 x 307 x 11 x 17 x 81 = 17716991490

Therefore, the lowest common multiple of 381,614,330,510,486 is 17716991490.

LCM Formula to Find Lowest Common Multiple of 381,614,330,510,486

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.

381 x 614 x 330 x 510 x 486 = 19134350809200

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.

381 : 1, 3, 127, 381

614 : 1, 2, 307, 614

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,614,330,510,486, is 1.

Now, the common factors can be found like this.

381:3x 127

614:2x 307

330:2x 3x 5x 11

510:2x 3x 5x 17

486:2x 3x 3x 3x 3x 3

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

2x 2x 2x 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 19134350809200/(1x1080)

LCM = 19134350809200/1080

LCM = 17716991490

Thus, we can understand that the LCM of 381,614,330,510,486 is 17716991490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 614, 330, 510, 486

1. What is the LCM of 381, 614, 330, 510, 486?

Answer: LCM of 381, 614, 330, 510, 486 is 17716991490.

2. How to calculate the LCM of 381, 614, 330, 510, 486?

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 381, 614, 330, 510, 486.

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}.