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LCM of 205, 336, 275, 695

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


Find the LCM of 205, 336, 275, 695 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 205, 336, 275, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,336,275,695

Given numbers are 205,336,275,695

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

The LCM of 205,336,275,695 is 526587600.

Find LCM of 205,336,275,695 with Prime Factorization


5 205, 336, 275, 695
41, 336, 55, 139

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

5 x 41 x 336 x 55 x 139 = 526587600

Therefore, the lowest common multiple of 205,336,275,695 is 526587600.

LCM Formula to Find Lowest Common Multiple of 205,336,275,695

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.

205 x 336 x 275 x 695 = 13164690000

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.

205 : 1, 5, 41, 205

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

275 : 1, 5, 11, 25, 55, 275

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,336,275,695, is 1.

Now, the common factors can be found like this.

205:5x 41

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

275:5x 5x 11

695:5x 139

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 13164690000/(1x25)

LCM = 13164690000/25

LCM = 526587600

Thus, we can understand that the LCM of 205,336,275,695 is 526587600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 336, 275, 695

1. What is the LCM of 205, 336, 275, 695?

Answer: LCM of 205, 336, 275, 695 is 526587600.

2. How to calculate the LCM of 205, 336, 275, 695?

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 205, 336, 275, 695.

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}.