Find the LCM of 991, 826, 376, 957, 646 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 991, 826, 376, 957, 646. So, keep reading to learn more.
Given numbers are 991,826,376,957,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,826,376,957,646 is 47569217907288.
Find LCM of 991,826,376,957,646 with Prime Factorization
2 | 991, 826, 376, 957, 646 |
991, 413, 188, 957, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 991 x 413 x 188 x 957 x 323 = 47569217907288
Therefore, the lowest common multiple of 991,826,376,957,646 is 47569217907288.
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.
991 x 826 x 376 x 957 x 646 = 190276871629152
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.
991 : 1, 991
826 : 1, 2, 7, 14, 59, 118, 413, 826
376 : 1, 2, 4, 8, 47, 94, 188, 376
957 : 1, 3, 11, 29, 33, 87, 319, 957
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,826,376,957,646, is 1.
Now, the common factors can be found like this.
991:991
826:2x 7x 59
376:2x 2x 2x 47
957:3x 11x 29
646:2x 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.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 190276871629152/(1x4)
LCM = 190276871629152/4
LCM = 47569217907288
Thus, we can understand that the LCM of 991,826,376,957,646 is 47569217907288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 826, 376, 957, 646?
Answer: LCM of 991, 826, 376, 957, 646 is 47569217907288.
2. How to calculate the LCM of 991, 826, 376, 957, 646?
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 991, 826, 376, 957, 646.
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}.