LCM of 676, 935, 770, 256, 511
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 935, 770, 256, 511 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 676, 935, 770, 256, 511. So, keep reading to learn more.
Given numbers are 676,935,770,256,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,935,770,256,511 is 20670890240.
Find LCM of 676,935,770,256,511 with Prime Factorization
| 2 | 676, 935, 770, 256, 511 |
| 2 | 338, 935, 385, 128, 511 |
| 5 | 169, 935, 385, 64, 511 |
| 7 | 169, 187, 77, 64, 511 |
| 11 | 169, 187, 11, 64, 73 |
| 169, 17, 1, 64, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 169 x 17 x 1 x 64 x 73 = 20670890240
Therefore, the lowest common multiple of 676,935,770,256,511 is 20670890240.
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.
676 x 935 x 770 x 256 x 511 = 63666341939200
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
935 : 1, 5, 11, 17, 55, 85, 187, 935
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,935,770,256,511, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
935:5x 11x 17
770:2x 5x 7x 11
256:2x 2x 2x 2x 2x 2x 2x 2
511:7x 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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 63666341939200/(1x3080)
LCM = 63666341939200/3080
LCM = 20670890240
Thus, we can understand that the LCM of 676,935,770,256,511 is 20670890240.
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FAQs on LCM of 676, 935, 770, 256, 511
1. What is the LCM of 676, 935, 770, 256, 511?
Answer: LCM of 676, 935, 770, 256, 511 is 20670890240.
2. How to calculate the LCM of 676, 935, 770, 256, 511?
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 676, 935, 770, 256, 511.
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}.