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LCM of 397, 422, 506, 332, 872

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


Find the LCM of 397, 422, 506, 332, 872 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, 422, 506, 332, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,422,506,332,872

Given numbers are 397,422,506,332,872

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

The LCM of 397,422,506,332,872 is 1533868259176.

Find LCM of 397,422,506,332,872 with Prime Factorization


2 397, 422, 506, 332, 872
2 397, 211, 253, 166, 436
397, 211, 253, 83, 218

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

2 x 2 x 397 x 211 x 253 x 83 x 218 = 1533868259176

Therefore, the lowest common multiple of 397,422,506,332,872 is 1533868259176.

LCM Formula to Find Lowest Common Multiple of 397,422,506,332,872

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 422 x 506 x 332 x 872 = 24541892146816

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

422 : 1, 2, 211, 422

506 : 1, 2, 11, 22, 23, 46, 253, 506

332 : 1, 2, 4, 83, 166, 332

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,422,506,332,872, is 1.

Now, the common factors can be found like this.

397:397

422:2x 211

506:2x 11x 23

332:2x 2x 83

872:2x 2x 2x 109

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 2 = 16

Therefore, the value for common factors is 16.

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 = 24541892146816/(1x16)

LCM = 24541892146816/16

LCM = 1533868259176

Thus, we can understand that the LCM of 397,422,506,332,872 is 1533868259176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 422, 506, 332, 872

1. What is the LCM of 397, 422, 506, 332, 872?

Answer: LCM of 397, 422, 506, 332, 872 is 1533868259176.

2. How to calculate the LCM of 397, 422, 506, 332, 872?

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, 422, 506, 332, 872.

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}.