Find the LCM of 415, 274, 990, 411, 119 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 415, 274, 990, 411, 119. So, keep reading to learn more.
Given numbers are 415,274,990,411,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,274,990,411,119 is 1339617510.
Find LCM of 415,274,990,411,119 with Prime Factorization
2 | 415, 274, 990, 411, 119 |
3 | 415, 137, 495, 411, 119 |
5 | 415, 137, 165, 137, 119 |
137 | 83, 137, 33, 137, 119 |
83, 1, 33, 1, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 137 x 83 x 1 x 33 x 1 x 119 = 1339617510
Therefore, the lowest common multiple of 415,274,990,411,119 is 1339617510.
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.
415 x 274 x 990 x 411 x 119 = 5505827966100
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.
415 : 1, 5, 83, 415
274 : 1, 2, 137, 274
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
411 : 1, 3, 137, 411
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,274,990,411,119, is 1.
Now, the common factors can be found like this.
415:5x 83
274:2x 137
990:2x 3x 3x 5x 11
411:3x 137
119:7x 17
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 5x 137 = 4110
Therefore, the value for common factors is 4110.
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 = 5505827966100/(1x4110)
LCM = 5505827966100/4110
LCM = 1339617510
Thus, we can understand that the LCM of 415,274,990,411,119 is 1339617510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 415, 274, 990, 411, 119?
Answer: LCM of 415, 274, 990, 411, 119 is 1339617510.
2. How to calculate the LCM of 415, 274, 990, 411, 119?
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 415, 274, 990, 411, 119.
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}.