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LCM of 201, 458, 682, 184, 322

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


Find the LCM of 201, 458, 682, 184, 322 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 201, 458, 682, 184, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,458,682,184,322

Given numbers are 201,458,682,184,322

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

The LCM of 201,458,682,184,322 is 20216305032.

Find LCM of 201,458,682,184,322 with Prime Factorization


2 201, 458, 682, 184, 322
23 201, 229, 341, 92, 161
201, 229, 341, 4, 7

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

2 x 23 x 201 x 229 x 341 x 4 x 7 = 20216305032

Therefore, the lowest common multiple of 201,458,682,184,322 is 20216305032.

LCM Formula to Find Lowest Common Multiple of 201,458,682,184,322

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.

201 x 458 x 682 x 184 x 322 = 3719800125888

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.

201 : 1, 3, 67, 201

458 : 1, 2, 229, 458

682 : 1, 2, 11, 22, 31, 62, 341, 682

184 : 1, 2, 4, 8, 23, 46, 92, 184

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,458,682,184,322, is 1.

Now, the common factors can be found like this.

201:3x 67

458:2x 229

682:2x 11x 31

184:2x 2x 2x 23

322:2x 7x 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 23 = 184

Therefore, the value for common factors is 184.

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 = 3719800125888/(1x184)

LCM = 3719800125888/184

LCM = 20216305032

Thus, we can understand that the LCM of 201,458,682,184,322 is 20216305032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 458, 682, 184, 322

1. What is the LCM of 201, 458, 682, 184, 322?

Answer: LCM of 201, 458, 682, 184, 322 is 20216305032.

2. How to calculate the LCM of 201, 458, 682, 184, 322?

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 201, 458, 682, 184, 322.

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}.