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LCM of 898, 308, 872, 946, 864

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


Find the LCM of 898, 308, 872, 946, 864 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 898, 308, 872, 946, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,308,872,946,864

Given numbers are 898,308,872,946,864

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

The LCM of 898,308,872,946,864 is 140005714464.

Find LCM of 898,308,872,946,864 with Prime Factorization


2 898, 308, 872, 946, 864
2 449, 154, 436, 473, 432
2 449, 77, 218, 473, 216
11 449, 77, 109, 473, 108
449, 7, 109, 43, 108

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

2 x 2 x 2 x 11 x 449 x 7 x 109 x 43 x 108 = 140005714464

Therefore, the lowest common multiple of 898,308,872,946,864 is 140005714464.

LCM Formula to Find Lowest Common Multiple of 898,308,872,946,864

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.

898 x 308 x 872 x 946 x 864 = 197128045965312

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.

898 : 1, 2, 449, 898

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,308,872,946,864, is 2.

Now, the common factors can be found like this.

898:2x 449

308:2x 2x 7x 11

872:2x 2x 2x 109

946:2x 11x 43

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 197128045965312/(2x704)

LCM = 197128045965312/1408

LCM = 140005714464

Thus, we can understand that the LCM of 898,308,872,946,864 is 140005714464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 308, 872, 946, 864

1. What is the LCM of 898, 308, 872, 946, 864?

Answer: LCM of 898, 308, 872, 946, 864 is 140005714464.

2. How to calculate the LCM of 898, 308, 872, 946, 864?

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 898, 308, 872, 946, 864.

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}.