Find the LCM of 417, 123, 123, 275, 804 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 417, 123, 123, 275, 804. So, keep reading to learn more.
Given numbers are 417,123,123,275,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,123,123,275,804 is 1260048900.
Find LCM of 417,123,123,275,804 with Prime Factorization
3 | 417, 123, 123, 275, 804 |
41 | 139, 41, 41, 275, 268 |
139, 1, 1, 275, 268 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 139 x 1 x 1 x 275 x 268 = 1260048900
Therefore, the lowest common multiple of 417,123,123,275,804 is 1260048900.
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.
417 x 123 x 123 x 275 x 804 = 1394874132300
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.
417 : 1, 3, 139, 417
123 : 1, 3, 41, 123
123 : 1, 3, 41, 123
275 : 1, 5, 11, 25, 55, 275
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,123,123,275,804, is 1.
Now, the common factors can be found like this.
417:3x 139
123:3x 41
123:3x 41
275:5x 5x 11
804:2x 2x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 41 = 1107
Therefore, the value for common factors is 1107.
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 = 1394874132300/(1x1107)
LCM = 1394874132300/1107
LCM = 1260048900
Thus, we can understand that the LCM of 417,123,123,275,804 is 1260048900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 123, 123, 275, 804?
Answer: LCM of 417, 123, 123, 275, 804 is 1260048900.
2. How to calculate the LCM of 417, 123, 123, 275, 804?
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 417, 123, 123, 275, 804.
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}.