Find the LCM of 105, 645, 344, 381, 661 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 105, 645, 344, 381, 661. So, keep reading to learn more.
Given numbers are 105,645,344,381,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,645,344,381,661 is 3032165640.
Find LCM of 105,645,344,381,661 with Prime Factorization
3 | 105, 645, 344, 381, 661 |
5 | 35, 215, 344, 127, 661 |
43 | 7, 43, 344, 127, 661 |
7, 1, 8, 127, 661 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 7 x 1 x 8 x 127 x 661 = 3032165640
Therefore, the lowest common multiple of 105,645,344,381,661 is 3032165640.
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.
105 x 645 x 344 x 381 x 661 = 5867240513400
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
645 : 1, 3, 5, 15, 43, 129, 215, 645
344 : 1, 2, 4, 8, 43, 86, 172, 344
381 : 1, 3, 127, 381
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,645,344,381,661, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
645:3x 5x 43
344:2x 2x 2x 43
381:3x 127
661:661
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 5x 43 = 1935
Therefore, the value for common factors is 1935.
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 = 5867240513400/(1x1935)
LCM = 5867240513400/1935
LCM = 3032165640
Thus, we can understand that the LCM of 105,645,344,381,661 is 3032165640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 645, 344, 381, 661?
Answer: LCM of 105, 645, 344, 381, 661 is 3032165640.
2. How to calculate the LCM of 105, 645, 344, 381, 661?
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 105, 645, 344, 381, 661.
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}.