LCM of 903, 506, 507, 204, 911
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 506, 507, 204, 911 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 903, 506, 507, 204, 911. So, keep reading to learn more.
Given numbers are 903,506,507,204,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,506,507,204,911 is 2391785704308.
Find LCM of 903,506,507,204,911 with Prime Factorization
| 2 | 903, 506, 507, 204, 911 |
| 3 | 903, 253, 507, 102, 911 |
| 301, 253, 169, 34, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 301 x 253 x 169 x 34 x 911 = 2391785704308
Therefore, the lowest common multiple of 903,506,507,204,911 is 2391785704308.
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.
903 x 506 x 507 x 204 x 911 = 43052142677544
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
506 : 1, 2, 11, 22, 23, 46, 253, 506
507 : 1, 3, 13, 39, 169, 507
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,506,507,204,911, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
506:2x 11x 23
507:3x 13x 13
204:2x 2x 3x 17
911:911
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 3 = 18
Therefore, the value for common factors is 18.
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 = 43052142677544/(1x18)
LCM = 43052142677544/18
LCM = 2391785704308
Thus, we can understand that the LCM of 903,506,507,204,911 is 2391785704308.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 903, 506, 507, 204, 911
1. What is the LCM of 903, 506, 507, 204, 911?
Answer: LCM of 903, 506, 507, 204, 911 is 2391785704308.
2. How to calculate the LCM of 903, 506, 507, 204, 911?
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 903, 506, 507, 204, 911.
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}.