Find the LCM of 225, 764, 110, 306, 579 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 225, 764, 110, 306, 579. So, keep reading to learn more.
Given numbers are 225,764,110,306,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,764,110,306,579 is 6204042900.
Find LCM of 225,764,110,306,579 with Prime Factorization
2 | 225, 764, 110, 306, 579 |
3 | 225, 382, 55, 153, 579 |
3 | 75, 382, 55, 51, 193 |
5 | 25, 382, 55, 17, 193 |
5, 382, 11, 17, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 382 x 11 x 17 x 193 = 6204042900
Therefore, the lowest common multiple of 225,764,110,306,579 is 6204042900.
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.
225 x 764 x 110 x 306 x 579 = 3350183166000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
764 : 1, 2, 4, 191, 382, 764
110 : 1, 2, 5, 10, 11, 22, 55, 110
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,764,110,306,579, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
764:2x 2x 191
110:2x 5x 11
306:2x 3x 3x 17
579:3x 193
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 3350183166000/(1x540)
LCM = 3350183166000/540
LCM = 6204042900
Thus, we can understand that the LCM of 225,764,110,306,579 is 6204042900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 225, 764, 110, 306, 579?
Answer: LCM of 225, 764, 110, 306, 579 is 6204042900.
2. How to calculate the LCM of 225, 764, 110, 306, 579?
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 225, 764, 110, 306, 579.
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}.