LCM of 308, 657, 522, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 657, 522, 616 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 308, 657, 522, 616. So, keep reading to learn more.
Given numbers are 308,657,522,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,657,522,616 is 11736648.
Find LCM of 308,657,522,616 with Prime Factorization
| 2 | 308, 657, 522, 616 |
| 2 | 154, 657, 261, 308 |
| 3 | 77, 657, 261, 154 |
| 3 | 77, 219, 87, 154 |
| 7 | 77, 73, 29, 154 |
| 11 | 11, 73, 29, 22 |
| 1, 73, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 1 x 73 x 29 x 2 = 11736648
Therefore, the lowest common multiple of 308,657,522,616 is 11736648.
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.
308 x 657 x 522 x 616 = 65067976512
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
657 : 1, 3, 9, 73, 219, 657
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,657,522,616, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
657:3x 3x 73
522:2x 3x 3x 29
616:2x 2x 2x 7x 11
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 3x 3x 7x 11 = 5544
Therefore, the value for common factors is 5544.
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 = 65067976512/(1x5544)
LCM = 65067976512/5544
LCM = 11736648
Thus, we can understand that the LCM of 308,657,522,616 is 11736648.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 308, 657, 522, 616
1. What is the LCM of 308, 657, 522, 616?
Answer: LCM of 308, 657, 522, 616 is 11736648.
2. How to calculate the LCM of 308, 657, 522, 616?
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 308, 657, 522, 616.
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}.