LCM of 313, 560, 494, 444, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 560, 494, 444, 590 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 313, 560, 494, 444, 590. So, keep reading to learn more.
Given numbers are 313,560,494,444,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,560,494,444,590 is 283533453840.
Find LCM of 313,560,494,444,590 with Prime Factorization
| 2 | 313, 560, 494, 444, 590 |
| 2 | 313, 280, 247, 222, 295 |
| 5 | 313, 140, 247, 111, 295 |
| 313, 28, 247, 111, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 313 x 28 x 247 x 111 x 59 = 283533453840
Therefore, the lowest common multiple of 313,560,494,444,590 is 283533453840.
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.
313 x 560 x 494 x 444 x 590 = 22682676307200
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.
313 : 1, 313
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
494 : 1, 2, 13, 19, 26, 38, 247, 494
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,560,494,444,590, is 1.
Now, the common factors can be found like this.
313:313
560:2x 2x 2x 2x 5x 7
494:2x 13x 19
444:2x 2x 3x 37
590:2x 5x 59
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 5 = 80
Therefore, the value for common factors is 80.
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 = 22682676307200/(1x80)
LCM = 22682676307200/80
LCM = 283533453840
Thus, we can understand that the LCM of 313,560,494,444,590 is 283533453840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 313, 560, 494, 444, 590
1. What is the LCM of 313, 560, 494, 444, 590?
Answer: LCM of 313, 560, 494, 444, 590 is 283533453840.
2. How to calculate the LCM of 313, 560, 494, 444, 590?
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 313, 560, 494, 444, 590.
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}.