LCM of 676, 117, 441, 793, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 117, 441, 793, 798 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, 117, 441, 793, 798. So, keep reading to learn more.
Given numbers are 676,117,441,793,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,117,441,793,798 is 345516444.
Find LCM of 676,117,441,793,798 with Prime Factorization
| 2 | 676, 117, 441, 793, 798 |
| 3 | 338, 117, 441, 793, 399 |
| 3 | 338, 39, 147, 793, 133 |
| 7 | 338, 13, 49, 793, 133 |
| 13 | 338, 13, 7, 793, 19 |
| 26, 1, 7, 61, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 26 x 1 x 7 x 61 x 19 = 345516444
Therefore, the lowest common multiple of 676,117,441,793,798 is 345516444.
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 117 x 441 x 793 x 798 = 22072281475608
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
117 : 1, 3, 9, 13, 39, 117
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
793 : 1, 13, 61, 793
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,117,441,793,798, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
117:3x 3x 13
441:3x 3x 7x 7
793:13x 61
798:2x 3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 13x 13 = 63882
Therefore, the value for common factors is 63882.
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 = 22072281475608/(1x63882)
LCM = 22072281475608/63882
LCM = 345516444
Thus, we can understand that the LCM of 676,117,441,793,798 is 345516444.
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FAQs on LCM of 676, 117, 441, 793, 798
1. What is the LCM of 676, 117, 441, 793, 798?
Answer: LCM of 676, 117, 441, 793, 798 is 345516444.
2. How to calculate the LCM of 676, 117, 441, 793, 798?
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, 117, 441, 793, 798.
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}.