LCM of 891, 579, 386, 286, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 579, 386, 286, 988 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 891, 579, 386, 286, 988. So, keep reading to learn more.
Given numbers are 891,579,386,286,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,579,386,286,988 is 169899444.
Find LCM of 891,579,386,286,988 with Prime Factorization
| 2 | 891, 579, 386, 286, 988 |
| 3 | 891, 579, 193, 143, 494 |
| 11 | 297, 193, 193, 143, 494 |
| 13 | 27, 193, 193, 13, 494 |
| 193 | 27, 193, 193, 1, 38 |
| 27, 1, 1, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 193 x 27 x 1 x 1 x 1 x 38 = 169899444
Therefore, the lowest common multiple of 891,579,386,286,988 is 169899444.
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.
891 x 579 x 386 x 286 x 988 = 56268657059472
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
579 : 1, 3, 193, 579
386 : 1, 2, 193, 386
286 : 1, 2, 11, 13, 22, 26, 143, 286
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,579,386,286,988, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
579:3x 193
386:2x 193
286:2x 11x 13
988:2x 2x 13x 19
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 3x 11x 13x 193 = 331188
Therefore, the value for common factors is 331188.
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 = 56268657059472/(1x331188)
LCM = 56268657059472/331188
LCM = 169899444
Thus, we can understand that the LCM of 891,579,386,286,988 is 169899444.
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FAQs on LCM of 891, 579, 386, 286, 988
1. What is the LCM of 891, 579, 386, 286, 988?
Answer: LCM of 891, 579, 386, 286, 988 is 169899444.
2. How to calculate the LCM of 891, 579, 386, 286, 988?
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 891, 579, 386, 286, 988.
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}.