LCM of 442, 682, 893, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 682, 893, 311 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 442, 682, 893, 311. So, keep reading to learn more.
Given numbers are 442,682,893,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,682,893,311 is 41858966006.
Find LCM of 442,682,893,311 with Prime Factorization
| 2 | 442, 682, 893, 311 |
| 221, 341, 893, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 221 x 341 x 893 x 311 = 41858966006
Therefore, the lowest common multiple of 442,682,893,311 is 41858966006.
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.
442 x 682 x 893 x 311 = 83717932012
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
682 : 1, 2, 11, 22, 31, 62, 341, 682
893 : 1, 19, 47, 893
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,682,893,311, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
682:2x 11x 31
893:19x 47
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 83717932012/(1x2)
LCM = 83717932012/2
LCM = 41858966006
Thus, we can understand that the LCM of 442,682,893,311 is 41858966006.
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FAQs on LCM of 442, 682, 893, 311
1. What is the LCM of 442, 682, 893, 311?
Answer: LCM of 442, 682, 893, 311 is 41858966006.
2. How to calculate the LCM of 442, 682, 893, 311?
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 442, 682, 893, 311.
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}.