LCM of 855, 418, 551, 798, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 418, 551, 798, 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 855, 418, 551, 798, 445. So, keep reading to learn more.
Given numbers are 855,418,551,798,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,418,551,798,445 is 339840270.
Find LCM of 855,418,551,798,445 with Prime Factorization
| 2 | 855, 418, 551, 798, 445 |
| 3 | 855, 209, 551, 399, 445 |
| 5 | 285, 209, 551, 133, 445 |
| 19 | 57, 209, 551, 133, 89 |
| 3, 11, 29, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 3 x 11 x 29 x 7 x 89 = 339840270
Therefore, the lowest common multiple of 855,418,551,798,445 is 339840270.
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.
855 x 418 x 551 x 798 x 445 = 69928932357900
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
418 : 1, 2, 11, 19, 22, 38, 209, 418
551 : 1, 19, 29, 551
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,418,551,798,445, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
418:2x 11x 19
551:19x 29
798:2x 3x 7x 19
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 3x 5x 19x 19x 19 = 205770
Therefore, the value for common factors is 205770.
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 = 69928932357900/(1x205770)
LCM = 69928932357900/205770
LCM = 339840270
Thus, we can understand that the LCM of 855,418,551,798,445 is 339840270.
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FAQs on LCM of 855, 418, 551, 798, 445
1. What is the LCM of 855, 418, 551, 798, 445?
Answer: LCM of 855, 418, 551, 798, 445 is 339840270.
2. How to calculate the LCM of 855, 418, 551, 798, 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 855, 418, 551, 798, 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}.