LCM of 682, 352, 817, 691, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 352, 817, 691, 789 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 682, 352, 817, 691, 789. So, keep reading to learn more.
Given numbers are 682,352,817,691,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,352,817,691,789 is 4860505785696.
Find LCM of 682,352,817,691,789 with Prime Factorization
| 2 | 682, 352, 817, 691, 789 |
| 11 | 341, 176, 817, 691, 789 |
| 31, 16, 817, 691, 789 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 16 x 817 x 691 x 789 = 4860505785696
Therefore, the lowest common multiple of 682,352,817,691,789 is 4860505785696.
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.
682 x 352 x 817 x 691 x 789 = 106931127285312
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
817 : 1, 19, 43, 817
691 : 1, 691
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,352,817,691,789, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
352:2x 2x 2x 2x 2x 11
817:19x 43
691:691
789:3x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 106931127285312/(1x22)
LCM = 106931127285312/22
LCM = 4860505785696
Thus, we can understand that the LCM of 682,352,817,691,789 is 4860505785696.
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FAQs on LCM of 682, 352, 817, 691, 789
1. What is the LCM of 682, 352, 817, 691, 789?
Answer: LCM of 682, 352, 817, 691, 789 is 4860505785696.
2. How to calculate the LCM of 682, 352, 817, 691, 789?
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 682, 352, 817, 691, 789.
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}.