Find the LCM of 961, 930, 805, 744, 908 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 961, 930, 805, 744, 908. So, keep reading to learn more.
Given numbers are 961,930,805,744,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,930,805,744,908 is 4214600040.
Find LCM of 961,930,805,744,908 with Prime Factorization
2 | 961, 930, 805, 744, 908 |
2 | 961, 465, 805, 372, 454 |
3 | 961, 465, 805, 186, 227 |
5 | 961, 155, 805, 62, 227 |
31 | 961, 31, 161, 62, 227 |
1, 31, 161, 2, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 1 x 31 x 161 x 2 x 227 = 4214600040
Therefore, the lowest common multiple of 961,930,805,744,908 is 4214600040.
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.
961 x 930 x 805 x 744 x 908 = 486027676612800
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.
961 : 1, 31, 961
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
805 : 1, 5, 7, 23, 35, 115, 161, 805
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,930,805,744,908, is 1.
Now, the common factors can be found like this.
961:31x 31
930:2x 3x 5x 31
805:5x 7x 23
744:2x 2x 2x 3x 31
908:2x 2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 31x 31 = 115320
Therefore, the value for common factors is 115320.
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 = 486027676612800/(1x115320)
LCM = 486027676612800/115320
LCM = 4214600040
Thus, we can understand that the LCM of 961,930,805,744,908 is 4214600040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 961, 930, 805, 744, 908?
Answer: LCM of 961, 930, 805, 744, 908 is 4214600040.
2. How to calculate the LCM of 961, 930, 805, 744, 908?
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 961, 930, 805, 744, 908.
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}.