Find the LCM of 616, 477, 737, 969, 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 616, 477, 737, 969, 486. So, keep reading to learn more.
Given numbers are 616,477,737,969,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,477,737,969,486 is 171688094424.
Find LCM of 616,477,737,969,486 with Prime Factorization
2 | 616, 477, 737, 969, 486 |
3 | 308, 477, 737, 969, 243 |
3 | 308, 159, 737, 323, 81 |
11 | 308, 53, 737, 323, 27 |
28, 53, 67, 323, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 28 x 53 x 67 x 323 x 27 = 171688094424
Therefore, the lowest common multiple of 616,477,737,969,486 is 171688094424.
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 477 x 737 x 969 x 486 = 101982728087856
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
477 : 1, 3, 9, 53, 159, 477
737 : 1, 11, 67, 737
969 : 1, 3, 17, 19, 51, 57, 323, 969
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 616,477,737,969,486, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
477:3x 3x 53
737:11x 67
969:3x 17x 19
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 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 101982728087856/(1x594)
LCM = 101982728087856/594
LCM = 171688094424
Thus, we can understand that the LCM of 616,477,737,969,486 is 171688094424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 616, 477, 737, 969, 486?
Answer: LCM of 616, 477, 737, 969, 486 is 171688094424.
2. How to calculate the LCM of 616, 477, 737, 969, 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 616, 477, 737, 969, 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}.