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LCM of 518, 336, 463

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


Find the LCM of 518, 336, 463 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 518, 336, 463. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,336,463

Given numbers are 518,336,463

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

The LCM of 518,336,463 is 5756016.

Find LCM of 518,336,463 with Prime Factorization


2 518, 336, 463
7 259, 168, 463
37, 24, 463

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

2 x 7 x 37 x 24 x 463 = 5756016

Therefore, the lowest common multiple of 518,336,463 is 5756016.

LCM Formula to Find Lowest Common Multiple of 518,336,463

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.

518 x 336 x 463 = 80584224

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,336,463, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

336:2x 2x 2x 2x 3x 7

463:463

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 80584224/(1x14)

LCM = 80584224/14

LCM = 5756016

Thus, we can understand that the LCM of 518,336,463 is 5756016.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 518, 336, 463

1. What is the LCM of 518, 336, 463?

Answer: LCM of 518, 336, 463 is 5756016.

2. How to calculate the LCM of 518, 336, 463?

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 518, 336, 463.

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}.