LCM of 686, 356, 451, 287, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 356, 451, 287, 445 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 686, 356, 451, 287, 445. So, keep reading to learn more.
Given numbers are 686,356,451,287,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,356,451,287,445 is 275353540.
Find LCM of 686,356,451,287,445 with Prime Factorization
| 2 | 686, 356, 451, 287, 445 |
| 7 | 343, 178, 451, 287, 445 |
| 41 | 49, 178, 451, 41, 445 |
| 89 | 49, 178, 11, 1, 445 |
| 49, 2, 11, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 89 x 49 x 2 x 11 x 1 x 5 = 275353540
Therefore, the lowest common multiple of 686,356,451,287,445 is 275353540.
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.
686 x 356 x 451 x 287 x 445 = 14066710944440
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
356 : 1, 2, 4, 89, 178, 356
451 : 1, 11, 41, 451
287 : 1, 7, 41, 287
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,356,451,287,445, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
356:2x 2x 89
451:11x 41
287:7x 41
445:5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 41x 89 = 51086
Therefore, the value for common factors is 51086.
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 = 14066710944440/(1x51086)
LCM = 14066710944440/51086
LCM = 275353540
Thus, we can understand that the LCM of 686,356,451,287,445 is 275353540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 686, 356, 451, 287, 445
1. What is the LCM of 686, 356, 451, 287, 445?
Answer: LCM of 686, 356, 451, 287, 445 is 275353540.
2. How to calculate the LCM of 686, 356, 451, 287, 445?
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 686, 356, 451, 287, 445.
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}.