LCM of 657, 452, 208, 339, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 452, 208, 339, 397 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 657, 452, 208, 339, 397. So, keep reading to learn more.
Given numbers are 657,452,208,339,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,452,208,339,397 is 6130524816.
Find LCM of 657,452,208,339,397 with Prime Factorization
| 2 | 657, 452, 208, 339, 397 |
| 2 | 657, 226, 104, 339, 397 |
| 3 | 657, 113, 52, 339, 397 |
| 113 | 219, 113, 52, 113, 397 |
| 219, 1, 52, 1, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 219 x 1 x 52 x 1 x 397 = 6130524816
Therefore, the lowest common multiple of 657,452,208,339,397 is 6130524816.
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.
657 x 452 x 208 x 339 x 397 = 8312991650496
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.
657 : 1, 3, 9, 73, 219, 657
452 : 1, 2, 4, 113, 226, 452
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
339 : 1, 3, 113, 339
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,452,208,339,397, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
452:2x 2x 113
208:2x 2x 2x 2x 13
339:3x 113
397:397
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 113 = 1356
Therefore, the value for common factors is 1356.
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 = 8312991650496/(1x1356)
LCM = 8312991650496/1356
LCM = 6130524816
Thus, we can understand that the LCM of 657,452,208,339,397 is 6130524816.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 657, 452, 208, 339, 397
1. What is the LCM of 657, 452, 208, 339, 397?
Answer: LCM of 657, 452, 208, 339, 397 is 6130524816.
2. How to calculate the LCM of 657, 452, 208, 339, 397?
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 657, 452, 208, 339, 397.
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}.