Find the LCM of 902, 977, 223, 223, 297 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 902, 977, 223, 223, 297. So, keep reading to learn more.
Given numbers are 902,977,223,223,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,977,223,223,297 is 5306030334.
Find LCM of 902,977,223,223,297 with Prime Factorization
11 | 902, 977, 223, 223, 297 |
223 | 82, 977, 223, 223, 27 |
82, 977, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
11 x 223 x 82 x 977 x 1 x 1 x 27 = 5306030334
Therefore, the lowest common multiple of 902,977,223,223,297 is 5306030334.
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.
902 x 977 x 223 x 223 x 297 = 13015692409302
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
977 : 1, 977
223 : 1, 223
223 : 1, 223
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,977,223,223,297, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
977:977
223:223
223:223
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 223 = 2453
Therefore, the value for common factors is 2453.
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 = 13015692409302/(1x2453)
LCM = 13015692409302/2453
LCM = 5306030334
Thus, we can understand that the LCM of 902,977,223,223,297 is 5306030334.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 977, 223, 223, 297?
Answer: LCM of 902, 977, 223, 223, 297 is 5306030334.
2. How to calculate the LCM of 902, 977, 223, 223, 297?
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 902, 977, 223, 223, 297.
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}.