Find the LCM of 853, 481, 444, 941, 942 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 853, 481, 444, 941, 942. So, keep reading to learn more.
Given numbers are 853,481,444,941,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,481,444,941,942 is 727385483292.
Find LCM of 853,481,444,941,942 with Prime Factorization
2 | 853, 481, 444, 941, 942 |
3 | 853, 481, 222, 941, 471 |
37 | 853, 481, 74, 941, 157 |
853, 13, 2, 941, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 853 x 13 x 2 x 941 x 157 = 727385483292
Therefore, the lowest common multiple of 853,481,444,941,942 is 727385483292.
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.
853 x 481 x 444 x 941 x 942 = 161479577290824
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.
853 : 1, 853
481 : 1, 13, 37, 481
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
941 : 1, 941
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,481,444,941,942, is 1.
Now, the common factors can be found like this.
853:853
481:13x 37
444:2x 2x 3x 37
941:941
942:2x 3x 157
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 37 = 222
Therefore, the value for common factors is 222.
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 = 161479577290824/(1x222)
LCM = 161479577290824/222
LCM = 727385483292
Thus, we can understand that the LCM of 853,481,444,941,942 is 727385483292.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 853, 481, 444, 941, 942?
Answer: LCM of 853, 481, 444, 941, 942 is 727385483292.
2. How to calculate the LCM of 853, 481, 444, 941, 942?
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 853, 481, 444, 941, 942.
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}.