LCM of 717, 772, 976, 264, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 772, 976, 264, 676 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 717, 772, 976, 264, 676. So, keep reading to learn more.
Given numbers are 717,772,976,264,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,772,976,264,676 is 251076272304.
Find LCM of 717,772,976,264,676 with Prime Factorization
| 2 | 717, 772, 976, 264, 676 |
| 2 | 717, 386, 488, 132, 338 |
| 2 | 717, 193, 244, 66, 169 |
| 3 | 717, 193, 122, 33, 169 |
| 239, 193, 122, 11, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 239 x 193 x 122 x 11 x 169 = 251076272304
Therefore, the lowest common multiple of 717,772,976,264,676 is 251076272304.
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.
717 x 772 x 976 x 264 x 676 = 96413288564736
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.
717 : 1, 3, 239, 717
772 : 1, 2, 4, 193, 386, 772
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,772,976,264,676, is 1.
Now, the common factors can be found like this.
717:3x 239
772:2x 2x 193
976:2x 2x 2x 2x 61
264:2x 2x 2x 3x 11
676:2x 2x 13x 13
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 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 96413288564736/(1x384)
LCM = 96413288564736/384
LCM = 251076272304
Thus, we can understand that the LCM of 717,772,976,264,676 is 251076272304.
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FAQs on LCM of 717, 772, 976, 264, 676
1. What is the LCM of 717, 772, 976, 264, 676?
Answer: LCM of 717, 772, 976, 264, 676 is 251076272304.
2. How to calculate the LCM of 717, 772, 976, 264, 676?
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 717, 772, 976, 264, 676.
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}.