Find the LCM of 900, 363, 209, 454, 203 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 900, 363, 209, 454, 203. So, keep reading to learn more.
Given numbers are 900,363,209,454,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,363,209,454,203 is 95346197100.
Find LCM of 900,363,209,454,203 with Prime Factorization
2 | 900, 363, 209, 454, 203 |
3 | 450, 363, 209, 227, 203 |
11 | 150, 121, 209, 227, 203 |
150, 11, 19, 227, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 150 x 11 x 19 x 227 x 203 = 95346197100
Therefore, the lowest common multiple of 900,363,209,454,203 is 95346197100.
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.
900 x 363 x 209 x 454 x 203 = 6292849008600
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.
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
363 : 1, 3, 11, 33, 121, 363
209 : 1, 11, 19, 209
454 : 1, 2, 227, 454
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,363,209,454,203, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
363:3x 11x 11
209:11x 19
454:2x 227
203:7x 29
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 11 = 66
Therefore, the value for common factors is 66.
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 = 6292849008600/(1x66)
LCM = 6292849008600/66
LCM = 95346197100
Thus, we can understand that the LCM of 900,363,209,454,203 is 95346197100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 363, 209, 454, 203?
Answer: LCM of 900, 363, 209, 454, 203 is 95346197100.
2. How to calculate the LCM of 900, 363, 209, 454, 203?
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 900, 363, 209, 454, 203.
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}.