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LCM of 206, 818, 942, 631, 258

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


Find the LCM of 206, 818, 942, 631, 258 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 206, 818, 942, 631, 258. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,818,942,631,258

Given numbers are 206,818,942,631,258

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

The LCM of 206,818,942,631,258 is 1076736041322.

Find LCM of 206,818,942,631,258 with Prime Factorization


2 206, 818, 942, 631, 258
3 103, 409, 471, 631, 129
103, 409, 157, 631, 43

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

2 x 3 x 103 x 409 x 157 x 631 x 43 = 1076736041322

Therefore, the lowest common multiple of 206,818,942,631,258 is 1076736041322.

LCM Formula to Find Lowest Common Multiple of 206,818,942,631,258

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.

206 x 818 x 942 x 631 x 258 = 25841664991728

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.

206 : 1, 2, 103, 206

818 : 1, 2, 409, 818

942 : 1, 2, 3, 6, 157, 314, 471, 942

631 : 1, 631

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,818,942,631,258, is 1.

Now, the common factors can be found like this.

206:2x 103

818:2x 409

942:2x 3x 157

631:631

258:2x 3x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 25841664991728/(1x24)

LCM = 25841664991728/24

LCM = 1076736041322

Thus, we can understand that the LCM of 206,818,942,631,258 is 1076736041322.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 818, 942, 631, 258

1. What is the LCM of 206, 818, 942, 631, 258?

Answer: LCM of 206, 818, 942, 631, 258 is 1076736041322.

2. How to calculate the LCM of 206, 818, 942, 631, 258?

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 206, 818, 942, 631, 258.

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}.