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LCM of 136, 286, 590, 205

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


Find the LCM of 136, 286, 590, 205 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 136, 286, 590, 205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 136,286,590,205

Given numbers are 136,286,590,205

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

The LCM of 136,286,590,205 is 235223560.

Find LCM of 136,286,590,205 with Prime Factorization


2 136, 286, 590, 205
5 68, 143, 295, 205
68, 143, 59, 41

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

2 x 5 x 68 x 143 x 59 x 41 = 235223560

Therefore, the lowest common multiple of 136,286,590,205 is 235223560.

LCM Formula to Find Lowest Common Multiple of 136,286,590,205

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.

136 x 286 x 590 x 205 = 4704471200

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.

136 : 1, 2, 4, 8, 17, 34, 68, 136

286 : 1, 2, 11, 13, 22, 26, 143, 286

590 : 1, 2, 5, 10, 59, 118, 295, 590

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,286,590,205, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

286:2x 11x 13

590:2x 5x 59

205:5x 41

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 5 = 20

Therefore, the value for common factors is 20.

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 = 4704471200/(1x20)

LCM = 4704471200/20

LCM = 235223560

Thus, we can understand that the LCM of 136,286,590,205 is 235223560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 136, 286, 590, 205

1. What is the LCM of 136, 286, 590, 205?

Answer: LCM of 136, 286, 590, 205 is 235223560.

2. How to calculate the LCM of 136, 286, 590, 205?

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 136, 286, 590, 205.

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}.