Find the LCM of 661, 897, 822, 676, 903 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 661, 897, 822, 676, 903. So, keep reading to learn more.
Given numbers are 661,897,822,676,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,897,822,676,903 is 1271406153108.
Find LCM of 661,897,822,676,903 with Prime Factorization
2 | 661, 897, 822, 676, 903 |
3 | 661, 897, 411, 338, 903 |
13 | 661, 299, 137, 338, 301 |
661, 23, 137, 26, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 661 x 23 x 137 x 26 x 301 = 1271406153108
Therefore, the lowest common multiple of 661,897,822,676,903 is 1271406153108.
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.
661 x 897 x 822 x 676 x 903 = 297509039827272
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.
661 : 1, 661
897 : 1, 3, 13, 23, 39, 69, 299, 897
822 : 1, 2, 3, 6, 137, 274, 411, 822
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,897,822,676,903, is 1.
Now, the common factors can be found like this.
661:661
897:3x 13x 23
822:2x 3x 137
676:2x 2x 13x 13
903:3x 7x 43
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 13 = 234
Therefore, the value for common factors is 234.
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 = 297509039827272/(1x234)
LCM = 297509039827272/234
LCM = 1271406153108
Thus, we can understand that the LCM of 661,897,822,676,903 is 1271406153108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 661, 897, 822, 676, 903?
Answer: LCM of 661, 897, 822, 676, 903 is 1271406153108.
2. How to calculate the LCM of 661, 897, 822, 676, 903?
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 661, 897, 822, 676, 903.
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}.