LCM of 560, 913, 964, 482, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 913, 964, 482, 418 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, 913, 964, 482, 418. So, keep reading to learn more.
Given numbers are 560,913,964,482,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,913,964,482,418 is 2341151120.
Find LCM of 560,913,964,482,418 with Prime Factorization
| 2 | 560, 913, 964, 482, 418 |
| 2 | 280, 913, 482, 241, 209 |
| 11 | 140, 913, 241, 241, 209 |
| 241 | 140, 83, 241, 241, 19 |
| 140, 83, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 241 x 140 x 83 x 1 x 1 x 19 = 2341151120
Therefore, the lowest common multiple of 560,913,964,482,418 is 2341151120.
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 913 x 964 x 482 x 418 = 99302265905920
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
913 : 1, 11, 83, 913
964 : 1, 2, 4, 241, 482, 964
482 : 1, 2, 241, 482
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,913,964,482,418, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
913:11x 83
964:2x 2x 241
482:2x 241
418:2x 11x 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 2x 2x 11x 241 = 42416
Therefore, the value for common factors is 42416.
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 = 99302265905920/(1x42416)
LCM = 99302265905920/42416
LCM = 2341151120
Thus, we can understand that the LCM of 560,913,964,482,418 is 2341151120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 560, 913, 964, 482, 418
1. What is the LCM of 560, 913, 964, 482, 418?
Answer: LCM of 560, 913, 964, 482, 418 is 2341151120.
2. How to calculate the LCM of 560, 913, 964, 482, 418?
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, 913, 964, 482, 418.
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}.