LCM of 440, 339, 426, 855, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 339, 426, 855, 882 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 440, 339, 426, 855, 882. So, keep reading to learn more.
Given numbers are 440,339,426,855,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,339,426,855,882 is 29578875480.
Find LCM of 440,339,426,855,882 with Prime Factorization
| 2 | 440, 339, 426, 855, 882 |
| 3 | 220, 339, 213, 855, 441 |
| 3 | 220, 113, 71, 285, 147 |
| 5 | 220, 113, 71, 95, 49 |
| 44, 113, 71, 19, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 44 x 113 x 71 x 19 x 49 = 29578875480
Therefore, the lowest common multiple of 440,339,426,855,882 is 29578875480.
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.
440 x 339 x 426 x 855 x 882 = 47917778277600
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
339 : 1, 3, 113, 339
426 : 1, 2, 3, 6, 71, 142, 213, 426
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,339,426,855,882, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
339:3x 113
426:2x 3x 71
855:3x 3x 5x 19
882:2x 3x 3x 7x 7
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 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 47917778277600/(1x1620)
LCM = 47917778277600/1620
LCM = 29578875480
Thus, we can understand that the LCM of 440,339,426,855,882 is 29578875480.
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FAQs on LCM of 440, 339, 426, 855, 882
1. What is the LCM of 440, 339, 426, 855, 882?
Answer: LCM of 440, 339, 426, 855, 882 is 29578875480.
2. How to calculate the LCM of 440, 339, 426, 855, 882?
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 440, 339, 426, 855, 882.
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}.