Find the LCM of 934, 830, 900, 450, 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 934, 830, 900, 450, 225. So, keep reading to learn more.
Given numbers are 934,830,900,450,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,830,900,450,225 is 34884900.
Find LCM of 934,830,900,450,225 with Prime Factorization
2 | 934, 830, 900, 450, 225 |
3 | 467, 415, 450, 225, 225 |
3 | 467, 415, 150, 75, 75 |
5 | 467, 415, 50, 25, 25 |
5 | 467, 83, 10, 5, 5 |
467, 83, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 467 x 83 x 2 x 1 x 1 = 34884900
Therefore, the lowest common multiple of 934,830,900,450,225 is 34884900.
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.
934 x 830 x 900 x 450 x 225 = 70641922500000
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.
934 : 1, 2, 467, 934
830 : 1, 2, 5, 10, 83, 166, 415, 830
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
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 934,830,900,450,225, is 1.
Now, the common factors can be found like this.
934:2x 467
830:2x 5x 83
900:2x 2x 3x 3x 5x 5
450:2x 3x 3x 5x 5
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 2x 2x 3x 3x 3x 3x 5x 5x 5x 5x 5 = 2025000
Therefore, the value for common factors is 2025000.
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 = 70641922500000/(1x2025000)
LCM = 70641922500000/2025000
LCM = 34884900
Thus, we can understand that the LCM of 934,830,900,450,225 is 34884900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 934, 830, 900, 450, 225?
Answer: LCM of 934, 830, 900, 450, 225 is 34884900.
2. How to calculate the LCM of 934, 830, 900, 450, 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 934, 830, 900, 450, 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}.