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LCM of 311, 238, 328, 458

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


Find the LCM of 311, 238, 328, 458 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 311, 238, 328, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,238,328,458

Given numbers are 311,238,328,458

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

The LCM of 311,238,328,458 is 2779820008.

Find LCM of 311,238,328,458 with Prime Factorization


2 311, 238, 328, 458
311, 119, 164, 229

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

2 x 311 x 119 x 164 x 229 = 2779820008

Therefore, the lowest common multiple of 311,238,328,458 is 2779820008.

LCM Formula to Find Lowest Common Multiple of 311,238,328,458

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.

311 x 238 x 328 x 458 = 11119280032

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.

311 : 1, 311

238 : 1, 2, 7, 14, 17, 34, 119, 238

328 : 1, 2, 4, 8, 41, 82, 164, 328

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,238,328,458, is 1.

Now, the common factors can be found like this.

311:311

238:2x 7x 17

328:2x 2x 2x 41

458:2x 229

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11119280032/(1x4)

LCM = 11119280032/4

LCM = 2779820008

Thus, we can understand that the LCM of 311,238,328,458 is 2779820008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 238, 328, 458

1. What is the LCM of 311, 238, 328, 458?

Answer: LCM of 311, 238, 328, 458 is 2779820008.

2. How to calculate the LCM of 311, 238, 328, 458?

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 311, 238, 328, 458.

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}.