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LCM of 428, 349, 198, 187, 258

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


Find the LCM of 428, 349, 198, 187, 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 428, 349, 198, 187, 258. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,349,198,187,258

Given numbers are 428,349,198,187,258

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

The LCM of 428,349,198,187,258 is 10809902268.

Find LCM of 428,349,198,187,258 with Prime Factorization


2 428, 349, 198, 187, 258
3 214, 349, 99, 187, 129
11 214, 349, 33, 187, 43
214, 349, 3, 17, 43

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

2 x 3 x 11 x 214 x 349 x 3 x 17 x 43 = 10809902268

Therefore, the lowest common multiple of 428,349,198,187,258 is 10809902268.

LCM Formula to Find Lowest Common Multiple of 428,349,198,187,258

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.

428 x 349 x 198 x 187 x 258 = 1426907099376

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.

428 : 1, 2, 4, 107, 214, 428

349 : 1, 349

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

187 : 1, 11, 17, 187

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 428,349,198,187,258, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

349:349

198:2x 3x 3x 11

187:11x 17

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 1426907099376/(1x132)

LCM = 1426907099376/132

LCM = 10809902268

Thus, we can understand that the LCM of 428,349,198,187,258 is 10809902268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 349, 198, 187, 258

1. What is the LCM of 428, 349, 198, 187, 258?

Answer: LCM of 428, 349, 198, 187, 258 is 10809902268.

2. How to calculate the LCM of 428, 349, 198, 187, 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 428, 349, 198, 187, 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}.