LCM of 560, 418, 579, 556, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 418, 579, 556, 231 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 560, 418, 579, 556, 231. So, keep reading to learn more.
Given numbers are 560,418,579,556,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,418,579,556,231 is 9419496240.
Find LCM of 560,418,579,556,231 with Prime Factorization
| 2 | 560, 418, 579, 556, 231 |
| 2 | 280, 209, 579, 278, 231 |
| 3 | 140, 209, 579, 139, 231 |
| 7 | 140, 209, 193, 139, 77 |
| 11 | 20, 209, 193, 139, 11 |
| 20, 19, 193, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 20 x 19 x 193 x 139 x 1 = 9419496240
Therefore, the lowest common multiple of 560,418,579,556,231 is 9419496240.
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.
560 x 418 x 579 x 556 x 231 = 17407229051520
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
418 : 1, 2, 11, 19, 22, 38, 209, 418
579 : 1, 3, 193, 579
556 : 1, 2, 4, 139, 278, 556
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,418,579,556,231, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
418:2x 11x 19
579:3x 193
556:2x 2x 139
231:3x 7x 11
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 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 17407229051520/(1x1848)
LCM = 17407229051520/1848
LCM = 9419496240
Thus, we can understand that the LCM of 560,418,579,556,231 is 9419496240.
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FAQs on LCM of 560, 418, 579, 556, 231
1. What is the LCM of 560, 418, 579, 556, 231?
Answer: LCM of 560, 418, 579, 556, 231 is 9419496240.
2. How to calculate the LCM of 560, 418, 579, 556, 231?
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 560, 418, 579, 556, 231.
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}.