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LCM of 515, 717, 336, 624, 208

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


Find the LCM of 515, 717, 336, 624, 208 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 515, 717, 336, 624, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,717,336,624,208

Given numbers are 515,717,336,624,208

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

The LCM of 515,717,336,624,208 is 537635280.

Find LCM of 515,717,336,624,208 with Prime Factorization


2 515, 717, 336, 624, 208
2 515, 717, 168, 312, 104
2 515, 717, 84, 156, 52
2 515, 717, 42, 78, 26
3 515, 717, 21, 39, 13
13 515, 239, 7, 13, 13
515, 239, 7, 1, 1

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

2 x 2 x 2 x 2 x 3 x 13 x 515 x 239 x 7 x 1 x 1 = 537635280

Therefore, the lowest common multiple of 515,717,336,624,208 is 537635280.

LCM Formula to Find Lowest Common Multiple of 515,717,336,624,208

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.

515 x 717 x 336 x 624 x 208 = 16103251906560

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.

515 : 1, 5, 103, 515

717 : 1, 3, 239, 717

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,717,336,624,208, is 1.

Now, the common factors can be found like this.

515:5x 103

717:3x 239

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

624:2x 2x 2x 2x 3x 13

208:2x 2x 2x 2x 13

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 2x 2x 2x 2x 2x 3x 3x 13 = 29952

Therefore, the value for common factors is 29952.

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 = 16103251906560/(1x29952)

LCM = 16103251906560/29952

LCM = 537635280

Thus, we can understand that the LCM of 515,717,336,624,208 is 537635280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 717, 336, 624, 208

1. What is the LCM of 515, 717, 336, 624, 208?

Answer: LCM of 515, 717, 336, 624, 208 is 537635280.

2. How to calculate the LCM of 515, 717, 336, 624, 208?

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 515, 717, 336, 624, 208.

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}.