LCM of 317, 924, 656, 614, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 924, 656, 614, 657 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 317, 924, 656, 614, 657. So, keep reading to learn more.
Given numbers are 317,924,656,614,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,924,656,614,657 is 3229665704496.
Find LCM of 317,924,656,614,657 with Prime Factorization
| 2 | 317, 924, 656, 614, 657 |
| 2 | 317, 462, 328, 307, 657 |
| 3 | 317, 231, 164, 307, 657 |
| 317, 77, 164, 307, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 317 x 77 x 164 x 307 x 219 = 3229665704496
Therefore, the lowest common multiple of 317,924,656,614,657 is 3229665704496.
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.
317 x 924 x 656 x 614 x 657 = 77511976907904
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.
317 : 1, 317
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
614 : 1, 2, 307, 614
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,924,656,614,657, is 1.
Now, the common factors can be found like this.
317:317
924:2x 2x 3x 7x 11
656:2x 2x 2x 2x 41
614:2x 307
657:3x 3x 73
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 3 = 24
Therefore, the value for common factors is 24.
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 = 77511976907904/(1x24)
LCM = 77511976907904/24
LCM = 3229665704496
Thus, we can understand that the LCM of 317,924,656,614,657 is 3229665704496.
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FAQs on LCM of 317, 924, 656, 614, 657
1. What is the LCM of 317, 924, 656, 614, 657?
Answer: LCM of 317, 924, 656, 614, 657 is 3229665704496.
2. How to calculate the LCM of 317, 924, 656, 614, 657?
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 317, 924, 656, 614, 657.
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}.