Find the LCM of 775, 101, 813, 961, 672 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 775, 101, 813, 961, 672. So, keep reading to learn more.
Given numbers are 775,101,813,961,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,101,813,961,672 is 441899320800.
Find LCM of 775,101,813,961,672 with Prime Factorization
3 | 775, 101, 813, 961, 672 |
31 | 775, 101, 271, 961, 224 |
25, 101, 271, 31, 224 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 25 x 101 x 271 x 31 x 224 = 441899320800
Therefore, the lowest common multiple of 775,101,813,961,672 is 441899320800.
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.
775 x 101 x 813 x 961 x 672 = 41096636834400
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.
775 : 1, 5, 25, 31, 155, 775
101 : 1, 101
813 : 1, 3, 271, 813
961 : 1, 31, 961
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,101,813,961,672, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
101:101
813:3x 271
961:31x 31
672:2x 2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 31 = 93
Therefore, the value for common factors is 93.
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 = 41096636834400/(1x93)
LCM = 41096636834400/93
LCM = 441899320800
Thus, we can understand that the LCM of 775,101,813,961,672 is 441899320800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 101, 813, 961, 672?
Answer: LCM of 775, 101, 813, 961, 672 is 441899320800.
2. How to calculate the LCM of 775, 101, 813, 961, 672?
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 775, 101, 813, 961, 672.
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}.