LCM of 207, 410, 212, 575, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 410, 212, 575, 225 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 207, 410, 212, 575, 225. So, keep reading to learn more.
Given numbers are 207,410,212,575,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,410,212,575,225 is 44981100.
Find LCM of 207,410,212,575,225 with Prime Factorization
| 2 | 207, 410, 212, 575, 225 |
| 3 | 207, 205, 106, 575, 225 |
| 3 | 69, 205, 106, 575, 75 |
| 5 | 23, 205, 106, 575, 25 |
| 5 | 23, 41, 106, 115, 5 |
| 23 | 23, 41, 106, 23, 1 |
| 1, 41, 106, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 23 x 1 x 41 x 106 x 1 x 1 = 44981100
Therefore, the lowest common multiple of 207,410,212,575,225 is 44981100.
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.
207 x 410 x 212 x 575 x 225 = 2327771925000
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.
207 : 1, 3, 9, 23, 69, 207
410 : 1, 2, 5, 10, 41, 82, 205, 410
212 : 1, 2, 4, 53, 106, 212
575 : 1, 5, 23, 25, 115, 575
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,410,212,575,225, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
410:2x 5x 41
212:2x 2x 53
575:5x 5x 23
225:3x 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 3x 3x 5x 5x 5x 23 = 51750
Therefore, the value for common factors is 51750.
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 = 2327771925000/(1x51750)
LCM = 2327771925000/51750
LCM = 44981100
Thus, we can understand that the LCM of 207,410,212,575,225 is 44981100.
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FAQs on LCM of 207, 410, 212, 575, 225
1. What is the LCM of 207, 410, 212, 575, 225?
Answer: LCM of 207, 410, 212, 575, 225 is 44981100.
2. How to calculate the LCM of 207, 410, 212, 575, 225?
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 207, 410, 212, 575, 225.
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}.