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LCM of 397, 654, 419, 800

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


Find the LCM of 397, 654, 419, 800 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, 654, 419, 800. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,654,419,800

Given numbers are 397,654,419,800

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

The LCM of 397,654,419,800 is 43515328800.

Find LCM of 397,654,419,800 with Prime Factorization


2 397, 654, 419, 800
397, 327, 419, 400

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

2 x 397 x 327 x 419 x 400 = 43515328800

Therefore, the lowest common multiple of 397,654,419,800 is 43515328800.

LCM Formula to Find Lowest Common Multiple of 397,654,419,800

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 654 x 419 x 800 = 87030657600

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

419 : 1, 419

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,654,419,800, is 1.

Now, the common factors can be found like this.

397:397

654:2x 3x 109

419:419

800:2x 2x 2x 2x 2x 5x 5

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

2 = 2

Therefore, the value for common factors is 2.

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 = 87030657600/(1x2)

LCM = 87030657600/2

LCM = 43515328800

Thus, we can understand that the LCM of 397,654,419,800 is 43515328800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 654, 419, 800

1. What is the LCM of 397, 654, 419, 800?

Answer: LCM of 397, 654, 419, 800 is 43515328800.

2. How to calculate the LCM of 397, 654, 419, 800?

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, 654, 419, 800.

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}.