Find the LCM of 957, 669, 252, 762, 891 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 957, 669, 252, 762, 891. So, keep reading to learn more.
Given numbers are 957,669,252,762,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,669,252,762,891 is 20490016932.
Find LCM of 957,669,252,762,891 with Prime Factorization
2 | 957, 669, 252, 762, 891 |
3 | 957, 669, 126, 381, 891 |
3 | 319, 223, 42, 127, 297 |
11 | 319, 223, 14, 127, 99 |
29, 223, 14, 127, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 29 x 223 x 14 x 127 x 9 = 20490016932
Therefore, the lowest common multiple of 957,669,252,762,891 is 20490016932.
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.
957 x 669 x 252 x 762 x 891 = 109539630518472
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
669 : 1, 3, 223, 669
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
762 : 1, 2, 3, 6, 127, 254, 381, 762
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,669,252,762,891, is 3.
Now, the common factors can be found like this.
957:3x 11x 29
669:3x 223
252:2x 2x 3x 3x 7
762:2x 3x 127
891:3x 3x 3x 3x 11
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 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 109539630518472/(3x1782)
LCM = 109539630518472/5346
LCM = 20490016932
Thus, we can understand that the LCM of 957,669,252,762,891 is 20490016932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 669, 252, 762, 891?
Answer: LCM of 957, 669, 252, 762, 891 is 20490016932.
2. How to calculate the LCM of 957, 669, 252, 762, 891?
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 957, 669, 252, 762, 891.
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}.