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LCM of 519, 780, 363, 466, 618

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


Find the LCM of 519, 780, 363, 466, 618 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 519, 780, 363, 466, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,780,363,466,618

Given numbers are 519,780,363,466,618

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

The LCM of 519,780,363,466,618 is 391849432260.

Find LCM of 519,780,363,466,618 with Prime Factorization


2 519, 780, 363, 466, 618
3 519, 390, 363, 233, 309
173, 130, 121, 233, 103

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

2 x 3 x 173 x 130 x 121 x 233 x 103 = 391849432260

Therefore, the lowest common multiple of 519,780,363,466,618 is 391849432260.

LCM Formula to Find Lowest Common Multiple of 519,780,363,466,618

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.

519 x 780 x 363 x 466 x 618 = 42319738684080

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.

519 : 1, 3, 173, 519

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

363 : 1, 3, 11, 33, 121, 363

466 : 1, 2, 233, 466

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,780,363,466,618, is 1.

Now, the common factors can be found like this.

519:3x 173

780:2x 2x 3x 5x 13

363:3x 11x 11

466:2x 233

618:2x 3x 103

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 42319738684080/(1x108)

LCM = 42319738684080/108

LCM = 391849432260

Thus, we can understand that the LCM of 519,780,363,466,618 is 391849432260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 519, 780, 363, 466, 618

1. What is the LCM of 519, 780, 363, 466, 618?

Answer: LCM of 519, 780, 363, 466, 618 is 391849432260.

2. How to calculate the LCM of 519, 780, 363, 466, 618?

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 519, 780, 363, 466, 618.

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}.