Find the LCM of 681, 956, 794, 987, 939 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 681, 956, 794, 987, 939. So, keep reading to learn more.
Given numbers are 681,956,794,987,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,956,794,987,939 is 26615568466284.
Find LCM of 681,956,794,987,939 with Prime Factorization
2 | 681, 956, 794, 987, 939 |
3 | 681, 478, 397, 987, 939 |
227, 478, 397, 329, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 478 x 397 x 329 x 313 = 26615568466284
Therefore, the lowest common multiple of 681,956,794,987,939 is 26615568466284.
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.
681 x 956 x 794 x 987 x 939 = 479080232393112
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.
681 : 1, 3, 227, 681
956 : 1, 2, 4, 239, 478, 956
794 : 1, 2, 397, 794
987 : 1, 3, 7, 21, 47, 141, 329, 987
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,956,794,987,939, is 1.
Now, the common factors can be found like this.
681:3x 227
956:2x 2x 239
794:2x 397
987:3x 7x 47
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 479080232393112/(1x18)
LCM = 479080232393112/18
LCM = 26615568466284
Thus, we can understand that the LCM of 681,956,794,987,939 is 26615568466284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 956, 794, 987, 939?
Answer: LCM of 681, 956, 794, 987, 939 is 26615568466284.
2. How to calculate the LCM of 681, 956, 794, 987, 939?
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 681, 956, 794, 987, 939.
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}.