LCM of 944, 289, 900, 856, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 944, 289, 900, 856, 515 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 944, 289, 900, 856, 515. So, keep reading to learn more.
Given numbers are 944,289,900,856,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 944,289,900,856,515 is 676508655600.
Find LCM of 944,289,900,856,515 with Prime Factorization
| 2 | 944, 289, 900, 856, 515 |
| 2 | 472, 289, 450, 428, 515 |
| 2 | 236, 289, 225, 214, 515 |
| 5 | 118, 289, 225, 107, 515 |
| 118, 289, 45, 107, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 118 x 289 x 45 x 107 x 103 = 676508655600
Therefore, the lowest common multiple of 944,289,900,856,515 is 676508655600.
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.
944 x 289 x 900 x 856 x 515 = 108241384896000
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.
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
289 : 1, 17, 289
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
856 : 1, 2, 4, 8, 107, 214, 428, 856
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,289,900,856,515, is 1.
Now, the common factors can be found like this.
944:2x 2x 2x 2x 59
289:17x 17
900:2x 2x 3x 3x 5x 5
856:2x 2x 2x 107
515:5x 103
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 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 108241384896000/(1x160)
LCM = 108241384896000/160
LCM = 676508655600
Thus, we can understand that the LCM of 944,289,900,856,515 is 676508655600.
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FAQs on LCM of 944, 289, 900, 856, 515
1. What is the LCM of 944, 289, 900, 856, 515?
Answer: LCM of 944, 289, 900, 856, 515 is 676508655600.
2. How to calculate the LCM of 944, 289, 900, 856, 515?
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 944, 289, 900, 856, 515.
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}.