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LCM of 397, 799, 447, 249

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


Find the LCM of 397, 799, 447, 249 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 397, 799, 447, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,799,447,249

Given numbers are 397,799,447,249

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

The LCM of 397,799,447,249 is 11768548503.

Find LCM of 397,799,447,249 with Prime Factorization


3 397, 799, 447, 249
397, 799, 149, 83

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

3 x 397 x 799 x 149 x 83 = 11768548503

Therefore, the lowest common multiple of 397,799,447,249 is 11768548503.

LCM Formula to Find Lowest Common Multiple of 397,799,447,249

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.

397 x 799 x 447 x 249 = 35305645509

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.

397 : 1, 397

799 : 1, 17, 47, 799

447 : 1, 3, 149, 447

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,799,447,249, is 1.

Now, the common factors can be found like this.

397:397

799:17x 47

447:3x 149

249:3x 83

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

3 = 3

Therefore, the value for common factors is 3.

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 = 35305645509/(1x3)

LCM = 35305645509/3

LCM = 11768548503

Thus, we can understand that the LCM of 397,799,447,249 is 11768548503.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 799, 447, 249

1. What is the LCM of 397, 799, 447, 249?

Answer: LCM of 397, 799, 447, 249 is 11768548503.

2. How to calculate the LCM of 397, 799, 447, 249?

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 397, 799, 447, 249.

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}.