LCM of 891, 418, 598, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 418, 598, 361 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, 418, 598, 361. So, keep reading to learn more.
Given numbers are 891,418,598,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,418,598,361 is 192347298.
Find LCM of 891,418,598,361 with Prime Factorization
| 2 | 891, 418, 598, 361 |
| 11 | 891, 209, 299, 361 |
| 19 | 81, 19, 299, 361 |
| 81, 1, 299, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 81 x 1 x 299 x 19 = 192347298
Therefore, the lowest common multiple of 891,418,598,361 is 192347298.
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 418 x 598 x 361 = 80401170564
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
598 : 1, 2, 13, 23, 26, 46, 299, 598
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,418,598,361, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
418:2x 11x 19
598:2x 13x 23
361:19x 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 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 80401170564/(1x418)
LCM = 80401170564/418
LCM = 192347298
Thus, we can understand that the LCM of 891,418,598,361 is 192347298.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 891, 418, 598, 361
1. What is the LCM of 891, 418, 598, 361?
Answer: LCM of 891, 418, 598, 361 is 192347298.
2. How to calculate the LCM of 891, 418, 598, 361?
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, 418, 598, 361.
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}.