Find the LCM of 906, 961, 451, 153, 969 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 906, 961, 451, 153, 969. So, keep reading to learn more.
Given numbers are 906,961,451,153,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,961,451,153,969 is 380497584654.
Find LCM of 906,961,451,153,969 with Prime Factorization
3 | 906, 961, 451, 153, 969 |
17 | 302, 961, 451, 51, 323 |
302, 961, 451, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 302 x 961 x 451 x 3 x 19 = 380497584654
Therefore, the lowest common multiple of 906,961,451,153,969 is 380497584654.
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.
906 x 961 x 451 x 153 x 969 = 58216130452062
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
961 : 1, 31, 961
451 : 1, 11, 41, 451
153 : 1, 3, 9, 17, 51, 153
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,961,451,153,969, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
961:31x 31
451:11x 41
153:3x 3x 17
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 58216130452062/(1x153)
LCM = 58216130452062/153
LCM = 380497584654
Thus, we can understand that the LCM of 906,961,451,153,969 is 380497584654.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 961, 451, 153, 969?
Answer: LCM of 906, 961, 451, 153, 969 is 380497584654.
2. How to calculate the LCM of 906, 961, 451, 153, 969?
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 906, 961, 451, 153, 969.
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}.