Find the LCM of 616, 527, 166, 408, 415 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 616, 527, 166, 408, 415. So, keep reading to learn more.
Given numbers are 616,527,166,408,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,527,166,408,415 is 404166840.
Find LCM of 616,527,166,408,415 with Prime Factorization
2 | 616, 527, 166, 408, 415 |
2 | 308, 527, 83, 204, 415 |
2 | 154, 527, 83, 102, 415 |
17 | 77, 527, 83, 51, 415 |
83 | 77, 31, 83, 3, 415 |
77, 31, 1, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 83 x 77 x 31 x 1 x 3 x 5 = 404166840
Therefore, the lowest common multiple of 616,527,166,408,415 is 404166840.
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.
616 x 527 x 166 x 408 x 415 = 9124470579840
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
527 : 1, 17, 31, 527
166 : 1, 2, 83, 166
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,527,166,408,415, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
527:17x 31
166:2x 83
408:2x 2x 2x 3x 17
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 17x 83 = 22576
Therefore, the value for common factors is 22576.
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 = 9124470579840/(1x22576)
LCM = 9124470579840/22576
LCM = 404166840
Thus, we can understand that the LCM of 616,527,166,408,415 is 404166840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 616, 527, 166, 408, 415?
Answer: LCM of 616, 527, 166, 408, 415 is 404166840.
2. How to calculate the LCM of 616, 527, 166, 408, 415?
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 616, 527, 166, 408, 415.
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}.