LCM of 682, 429, 810, 445, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 429, 810, 445, 742 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, 429, 810, 445, 742. So, keep reading to learn more.
Given numbers are 682,429,810,445,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,429,810,445,742 is 118562313870.
Find LCM of 682,429,810,445,742 with Prime Factorization
| 2 | 682, 429, 810, 445, 742 |
| 3 | 341, 429, 405, 445, 371 |
| 5 | 341, 143, 135, 445, 371 |
| 11 | 341, 143, 27, 89, 371 |
| 31, 13, 27, 89, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 31 x 13 x 27 x 89 x 371 = 118562313870
Therefore, the lowest common multiple of 682,429,810,445,742 is 118562313870.
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 429 x 810 x 445 x 742 = 78251127154200
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
445 : 1, 5, 89, 445
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,429,810,445,742, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
429:3x 11x 13
810:2x 3x 3x 3x 3x 5
445:5x 89
742:2x 7x 53
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 3x 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 78251127154200/(1x660)
LCM = 78251127154200/660
LCM = 118562313870
Thus, we can understand that the LCM of 682,429,810,445,742 is 118562313870.
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FAQs on LCM of 682, 429, 810, 445, 742
1. What is the LCM of 682, 429, 810, 445, 742?
Answer: LCM of 682, 429, 810, 445, 742 is 118562313870.
2. How to calculate the LCM of 682, 429, 810, 445, 742?
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, 429, 810, 445, 742.
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}.