Find the LCM of 891, 749, 214, 931, 522 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 891, 749, 214, 931, 522. So, keep reading to learn more.
Given numbers are 891,749,214,931,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,749,214,931,522 is 5148007326.
Find LCM of 891,749,214,931,522 with Prime Factorization
2 | 891, 749, 214, 931, 522 |
3 | 891, 749, 107, 931, 261 |
3 | 297, 749, 107, 931, 87 |
7 | 99, 749, 107, 931, 29 |
107 | 99, 107, 107, 133, 29 |
99, 1, 1, 133, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 107 x 99 x 1 x 1 x 133 x 29 = 5148007326
Therefore, the lowest common multiple of 891,749,214,931,522 is 5148007326.
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.
891 x 749 x 214 x 931 x 522 = 69405434769132
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
749 : 1, 7, 107, 749
214 : 1, 2, 107, 214
931 : 1, 7, 19, 49, 133, 931
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,749,214,931,522, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
749:7x 107
214:2x 107
931:7x 7x 19
522:2x 3x 3x 29
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 3x 7x 107 = 13482
Therefore, the value for common factors is 13482.
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 = 69405434769132/(1x13482)
LCM = 69405434769132/13482
LCM = 5148007326
Thus, we can understand that the LCM of 891,749,214,931,522 is 5148007326.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 749, 214, 931, 522?
Answer: LCM of 891, 749, 214, 931, 522 is 5148007326.
2. How to calculate the LCM of 891, 749, 214, 931, 522?
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 891, 749, 214, 931, 522.
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}.