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LCM of 208, 340, 408, 575

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


Find the LCM of 208, 340, 408, 575 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 208, 340, 408, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,340,408,575

Given numbers are 208,340,408,575

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

The LCM of 208,340,408,575 is 6099600.

Find LCM of 208,340,408,575 with Prime Factorization


2 208, 340, 408, 575
2 104, 170, 204, 575
2 52, 85, 102, 575
5 26, 85, 51, 575
17 26, 17, 51, 115
26, 1, 3, 115

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

2 x 2 x 2 x 5 x 17 x 26 x 1 x 3 x 115 = 6099600

Therefore, the lowest common multiple of 208,340,408,575 is 6099600.

LCM Formula to Find Lowest Common Multiple of 208,340,408,575

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.

208 x 340 x 408 x 575 = 16590912000

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.

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,340,408,575, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

340:2x 2x 5x 17

408:2x 2x 2x 3x 17

575:5x 5x 23

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 5x 17 = 2720

Therefore, the value for common factors is 2720.

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 = 16590912000/(1x2720)

LCM = 16590912000/2720

LCM = 6099600

Thus, we can understand that the LCM of 208,340,408,575 is 6099600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 340, 408, 575

1. What is the LCM of 208, 340, 408, 575?

Answer: LCM of 208, 340, 408, 575 is 6099600.

2. How to calculate the LCM of 208, 340, 408, 575?

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 208, 340, 408, 575.

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}.