Find the LCM of 827, 391, 442, 478, 941 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 827, 391, 442, 478, 941. So, keep reading to learn more.
Given numbers are 827,391,442,478,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,391,442,478,941 is 1890789314518.
Find LCM of 827,391,442,478,941 with Prime Factorization
2 | 827, 391, 442, 478, 941 |
17 | 827, 391, 221, 239, 941 |
827, 23, 13, 239, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 827 x 23 x 13 x 239 x 941 = 1890789314518
Therefore, the lowest common multiple of 827,391,442,478,941 is 1890789314518.
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.
827 x 391 x 442 x 478 x 941 = 64286836693612
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.
827 : 1, 827
391 : 1, 17, 23, 391
442 : 1, 2, 13, 17, 26, 34, 221, 442
478 : 1, 2, 239, 478
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,391,442,478,941, is 1.
Now, the common factors can be found like this.
827:827
391:17x 23
442:2x 13x 17
478:2x 239
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 64286836693612/(1x34)
LCM = 64286836693612/34
LCM = 1890789314518
Thus, we can understand that the LCM of 827,391,442,478,941 is 1890789314518.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 391, 442, 478, 941?
Answer: LCM of 827, 391, 442, 478, 941 is 1890789314518.
2. How to calculate the LCM of 827, 391, 442, 478, 941?
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 827, 391, 442, 478, 941.
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}.