Find the LCM of 984, 415, 648, 961, 166 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 984, 415, 648, 961, 166. So, keep reading to learn more.
Given numbers are 984,415,648,961,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,415,648,961,166 is 10595716920.
Find LCM of 984,415,648,961,166 with Prime Factorization
2 | 984, 415, 648, 961, 166 |
2 | 492, 415, 324, 961, 83 |
2 | 246, 415, 162, 961, 83 |
3 | 123, 415, 81, 961, 83 |
83 | 41, 415, 27, 961, 83 |
41, 5, 27, 961, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 83 x 41 x 5 x 27 x 961 x 1 = 10595716920
Therefore, the lowest common multiple of 984,415,648,961,166 is 10595716920.
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.
984 x 415 x 648 x 961 x 166 = 42213336209280
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
415 : 1, 5, 83, 415
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
961 : 1, 31, 961
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,415,648,961,166, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
415:5x 83
648:2x 2x 2x 3x 3x 3x 3
961:31x 31
166:2x 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 3x 83 = 3984
Therefore, the value for common factors is 3984.
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 = 42213336209280/(1x3984)
LCM = 42213336209280/3984
LCM = 10595716920
Thus, we can understand that the LCM of 984,415,648,961,166 is 10595716920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 984, 415, 648, 961, 166?
Answer: LCM of 984, 415, 648, 961, 166 is 10595716920.
2. How to calculate the LCM of 984, 415, 648, 961, 166?
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 984, 415, 648, 961, 166.
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}.