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LCM of 458, 312, 312, 388

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


Find the LCM of 458, 312, 312, 388 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 458, 312, 312, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,312,312,388

Given numbers are 458,312,312,388

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

The LCM of 458,312,312,388 is 6930456.

Find LCM of 458,312,312,388 with Prime Factorization


2 458, 312, 312, 388
2 229, 156, 156, 194
2 229, 78, 78, 97
3 229, 39, 39, 97
13 229, 13, 13, 97
229, 1, 1, 97

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

2 x 2 x 2 x 3 x 13 x 229 x 1 x 1 x 97 = 6930456

Therefore, the lowest common multiple of 458,312,312,388 is 6930456.

LCM Formula to Find Lowest Common Multiple of 458,312,312,388

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.

458 x 312 x 312 x 388 = 17298418176

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.

458 : 1, 2, 229, 458

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,312,312,388, is 2.

Now, the common factors can be found like this.

458:2x 229

312:2x 2x 2x 3x 13

312:2x 2x 2x 3x 13

388:2x 2x 97

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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 17298418176/(2x1248)

LCM = 17298418176/2496

LCM = 6930456

Thus, we can understand that the LCM of 458,312,312,388 is 6930456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 312, 312, 388

1. What is the LCM of 458, 312, 312, 388?

Answer: LCM of 458, 312, 312, 388 is 6930456.

2. How to calculate the LCM of 458, 312, 312, 388?

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 458, 312, 312, 388.

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}.