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LCM of 864, 367, 646, 391, 976

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


Find the LCM of 864, 367, 646, 391, 976 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 864, 367, 646, 391, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,367,646,391,976

Given numbers are 864,367,646,391,976

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

The LCM of 864,367,646,391,976 is 143694451872.

Find LCM of 864,367,646,391,976 with Prime Factorization


2 864, 367, 646, 391, 976
2 432, 367, 323, 391, 488
2 216, 367, 323, 391, 244
2 108, 367, 323, 391, 122
17 54, 367, 323, 391, 61
54, 367, 19, 23, 61

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

2 x 2 x 2 x 2 x 17 x 54 x 367 x 19 x 23 x 61 = 143694451872

Therefore, the lowest common multiple of 864,367,646,391,976 is 143694451872.

LCM Formula to Find Lowest Common Multiple of 864,367,646,391,976

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.

864 x 367 x 646 x 391 x 976 = 78169781818368

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.

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

367 : 1, 367

646 : 1, 2, 17, 19, 34, 38, 323, 646

391 : 1, 17, 23, 391

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,367,646,391,976, is 1.

Now, the common factors can be found like this.

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

367:367

646:2x 17x 19

391:17x 23

976:2x 2x 2x 2x 61

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 17 = 544

Therefore, the value for common factors is 544.

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 = 78169781818368/(1x544)

LCM = 78169781818368/544

LCM = 143694451872

Thus, we can understand that the LCM of 864,367,646,391,976 is 143694451872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 367, 646, 391, 976

1. What is the LCM of 864, 367, 646, 391, 976?

Answer: LCM of 864, 367, 646, 391, 976 is 143694451872.

2. How to calculate the LCM of 864, 367, 646, 391, 976?

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 864, 367, 646, 391, 976.

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}.