LCM of 208, 900, 438, 910, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 208, 900, 438, 910, 565 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 208, 900, 438, 910, 565. So, keep reading to learn more.
Given numbers are 208,900,438,910,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,900,438,910,565 is 2702372400.
Find LCM of 208,900,438,910,565 with Prime Factorization
| 2 | 208, 900, 438, 910, 565 |
| 2 | 104, 450, 219, 455, 565 |
| 3 | 52, 225, 219, 455, 565 |
| 5 | 52, 75, 73, 455, 565 |
| 13 | 52, 15, 73, 91, 113 |
| 4, 15, 73, 7, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 4 x 15 x 73 x 7 x 113 = 2702372400
Therefore, the lowest common multiple of 208,900,438,910,565 is 2702372400.
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.
208 x 900 x 438 x 910 x 565 = 42157009440000
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,900,438,910,565, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
900:2x 2x 3x 3x 5x 5
438:2x 3x 73
910:2x 5x 7x 13
565:5x 113
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 3x 5x 5x 13 = 15600
Therefore, the value for common factors is 15600.
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 = 42157009440000/(1x15600)
LCM = 42157009440000/15600
LCM = 2702372400
Thus, we can understand that the LCM of 208,900,438,910,565 is 2702372400.
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FAQs on LCM of 208, 900, 438, 910, 565
1. What is the LCM of 208, 900, 438, 910, 565?
Answer: LCM of 208, 900, 438, 910, 565 is 2702372400.
2. How to calculate the LCM of 208, 900, 438, 910, 565?
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 208, 900, 438, 910, 565.
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}.