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LCM of 439, 486, 597, 597, 381

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


Find the LCM of 439, 486, 597, 597, 381 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 439, 486, 597, 597, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,486,597,597,381

Given numbers are 439,486,597,597,381

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

The LCM of 439,486,597,597,381 is 5392095642.

Find LCM of 439,486,597,597,381 with Prime Factorization


3 439, 486, 597, 597, 381
199 439, 162, 199, 199, 127
439, 162, 1, 1, 127

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

3 x 199 x 439 x 162 x 1 x 1 x 127 = 5392095642

Therefore, the lowest common multiple of 439,486,597,597,381 is 5392095642.

LCM Formula to Find Lowest Common Multiple of 439,486,597,597,381

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.

439 x 486 x 597 x 597 x 381 = 28971729884466

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.

439 : 1, 439

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

597 : 1, 3, 199, 597

597 : 1, 3, 199, 597

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,486,597,597,381, is 1.

Now, the common factors can be found like this.

439:439

486:2x 3x 3x 3x 3x 3

597:3x 199

597:3x 199

381:3x 127

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

3x 3x 3x 199 = 5373

Therefore, the value for common factors is 5373.

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 = 28971729884466/(1x5373)

LCM = 28971729884466/5373

LCM = 5392095642

Thus, we can understand that the LCM of 439,486,597,597,381 is 5392095642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 486, 597, 597, 381

1. What is the LCM of 439, 486, 597, 597, 381?

Answer: LCM of 439, 486, 597, 597, 381 is 5392095642.

2. How to calculate the LCM of 439, 486, 597, 597, 381?

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 439, 486, 597, 597, 381.

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}.