LCM of 909, 593, 607, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 593, 607, 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 909, 593, 607, 225. So, keep reading to learn more.
Given numbers are 909,593,607,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,593,607,225 is 8179886475.
Find LCM of 909,593,607,225 with Prime Factorization
| 3 | 909, 593, 607, 225 |
| 3 | 303, 593, 607, 75 |
| 101, 593, 607, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 101 x 593 x 607 x 25 = 8179886475
Therefore, the lowest common multiple of 909,593,607,225 is 8179886475.
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.
909 x 593 x 607 x 225 = 73618978275
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.
909 : 1, 3, 9, 101, 303, 909
593 : 1, 593
607 : 1, 607
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 909,593,607,225, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
593:593
607:607
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.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 73618978275/(1x9)
LCM = 73618978275/9
LCM = 8179886475
Thus, we can understand that the LCM of 909,593,607,225 is 8179886475.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 593, 607, 225
1. What is the LCM of 909, 593, 607, 225?
Answer: LCM of 909, 593, 607, 225 is 8179886475.
2. How to calculate the LCM of 909, 593, 607, 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 909, 593, 607, 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}.