Find the LCM of 466, 763, 916, 135, 486 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 466, 763, 916, 135, 486. So, keep reading to learn more.
Given numbers are 466,763,916,135,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,763,916,135,486 is 197857360260.
Find LCM of 466,763,916,135,486 with Prime Factorization
2 | 466, 763, 916, 135, 486 |
3 | 233, 763, 458, 135, 243 |
3 | 233, 763, 458, 45, 81 |
3 | 233, 763, 458, 15, 27 |
233, 763, 458, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 233 x 763 x 458 x 5 x 9 = 197857360260
Therefore, the lowest common multiple of 466,763,916,135,486 is 197857360260.
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.
466 x 763 x 916 x 135 x 486 = 21368594908080
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.
466 : 1, 2, 233, 466
763 : 1, 7, 109, 763
916 : 1, 2, 4, 229, 458, 916
135 : 1, 3, 5, 9, 15, 27, 45, 135
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,763,916,135,486, is 1.
Now, the common factors can be found like this.
466:2x 233
763:7x 109
916:2x 2x 229
135:3x 3x 3x 5
486:2x 3x 3x 3x 3x 3
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 21368594908080/(1x108)
LCM = 21368594908080/108
LCM = 197857360260
Thus, we can understand that the LCM of 466,763,916,135,486 is 197857360260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 763, 916, 135, 486?
Answer: LCM of 466, 763, 916, 135, 486 is 197857360260.
2. How to calculate the LCM of 466, 763, 916, 135, 486?
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 466, 763, 916, 135, 486.
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}.