LCM of 844, 360, 697, 585, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 360, 697, 585, 337 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 844, 360, 697, 585, 337. So, keep reading to learn more.
Given numbers are 844,360,697,585,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,360,697,585,337 is 231948189720.
Find LCM of 844,360,697,585,337 with Prime Factorization
| 2 | 844, 360, 697, 585, 337 |
| 2 | 422, 180, 697, 585, 337 |
| 3 | 211, 90, 697, 585, 337 |
| 3 | 211, 30, 697, 195, 337 |
| 5 | 211, 10, 697, 65, 337 |
| 211, 2, 697, 13, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 211 x 2 x 697 x 13 x 337 = 231948189720
Therefore, the lowest common multiple of 844,360,697,585,337 is 231948189720.
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.
844 x 360 x 697 x 585 x 337 = 41750674149600
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.
844 : 1, 2, 4, 211, 422, 844
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
697 : 1, 17, 41, 697
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,360,697,585,337, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
360:2x 2x 2x 3x 3x 5
697:17x 41
585:3x 3x 5x 13
337:337
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 41750674149600/(1x180)
LCM = 41750674149600/180
LCM = 231948189720
Thus, we can understand that the LCM of 844,360,697,585,337 is 231948189720.
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FAQs on LCM of 844, 360, 697, 585, 337
1. What is the LCM of 844, 360, 697, 585, 337?
Answer: LCM of 844, 360, 697, 585, 337 is 231948189720.
2. How to calculate the LCM of 844, 360, 697, 585, 337?
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 844, 360, 697, 585, 337.
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}.