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LCM of 451, 363, 439, 312

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


Find the LCM of 451, 363, 439, 312 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 451, 363, 439, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,363,439,312

Given numbers are 451,363,439,312

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

The LCM of 451,363,439,312 is 679498248.

Find LCM of 451,363,439,312 with Prime Factorization


3 451, 363, 439, 312
11 451, 121, 439, 104
41, 11, 439, 104

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

3 x 11 x 41 x 11 x 439 x 104 = 679498248

Therefore, the lowest common multiple of 451,363,439,312 is 679498248.

LCM Formula to Find Lowest Common Multiple of 451,363,439,312

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.

451 x 363 x 439 x 312 = 22423442184

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.

451 : 1, 11, 41, 451

363 : 1, 3, 11, 33, 121, 363

439 : 1, 439

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,363,439,312, is 1.

Now, the common factors can be found like this.

451:11x 41

363:3x 11x 11

439:439

312:2x 2x 2x 3x 13

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 22423442184/(1x33)

LCM = 22423442184/33

LCM = 679498248

Thus, we can understand that the LCM of 451,363,439,312 is 679498248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 451, 363, 439, 312

1. What is the LCM of 451, 363, 439, 312?

Answer: LCM of 451, 363, 439, 312 is 679498248.

2. How to calculate the LCM of 451, 363, 439, 312?

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 451, 363, 439, 312.

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}.