LCM of 115, 491, 180, 208, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 491, 180, 208, 900 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 115, 491, 180, 208, 900. So, keep reading to learn more.
Given numbers are 115,491,180,208,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,491,180,208,900 is 528512400.
Find LCM of 115,491,180,208,900 with Prime Factorization
| 2 | 115, 491, 180, 208, 900 |
| 2 | 115, 491, 90, 104, 450 |
| 3 | 115, 491, 45, 52, 225 |
| 3 | 115, 491, 15, 52, 75 |
| 5 | 115, 491, 5, 52, 25 |
| 23, 491, 1, 52, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 491 x 1 x 52 x 5 = 528512400
Therefore, the lowest common multiple of 115,491,180,208,900 is 528512400.
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.
115 x 491 x 180 x 208 x 900 = 1902644640000
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.
115 : 1, 5, 23, 115
491 : 1, 491
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,491,180,208,900, is 1.
Now, the common factors can be found like this.
115:5x 23
491:491
180:2x 2x 3x 3x 5
208:2x 2x 2x 2x 13
900:2x 2x 3x 3x 5x 5
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 3x 5x 5 = 3600
Therefore, the value for common factors is 3600.
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 = 1902644640000/(1x3600)
LCM = 1902644640000/3600
LCM = 528512400
Thus, we can understand that the LCM of 115,491,180,208,900 is 528512400.
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FAQs on LCM of 115, 491, 180, 208, 900
1. What is the LCM of 115, 491, 180, 208, 900?
Answer: LCM of 115, 491, 180, 208, 900 is 528512400.
2. How to calculate the LCM of 115, 491, 180, 208, 900?
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 115, 491, 180, 208, 900.
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}.