LCM of 559, 682, 440, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 682, 440, 319 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 559, 682, 440, 319. So, keep reading to learn more.
Given numbers are 559,682,440,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,682,440,319 is 221118040.
Find LCM of 559,682,440,319 with Prime Factorization
| 2 | 559, 682, 440, 319 |
| 11 | 559, 341, 220, 319 |
| 559, 31, 20, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 559 x 31 x 20 x 29 = 221118040
Therefore, the lowest common multiple of 559,682,440,319 is 221118040.
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.
559 x 682 x 440 x 319 = 53510565680
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.
559 : 1, 13, 43, 559
682 : 1, 2, 11, 22, 31, 62, 341, 682
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,682,440,319, is 1.
Now, the common factors can be found like this.
559:13x 43
682:2x 11x 31
440:2x 2x 2x 5x 11
319:11x 29
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 11 = 242
Therefore, the value for common factors is 242.
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 = 53510565680/(1x242)
LCM = 53510565680/242
LCM = 221118040
Thus, we can understand that the LCM of 559,682,440,319 is 221118040.
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FAQs on LCM of 559, 682, 440, 319
1. What is the LCM of 559, 682, 440, 319?
Answer: LCM of 559, 682, 440, 319 is 221118040.
2. How to calculate the LCM of 559, 682, 440, 319?
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 559, 682, 440, 319.
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}.