Find the LCM of 318, 139, 140, 913, 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 318, 139, 140, 913, 939. So, keep reading to learn more.
Given numbers are 318,139,140,913,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,139,140,913,939 is 884209293660.
Find LCM of 318,139,140,913,939 with Prime Factorization
2 | 318, 139, 140, 913, 939 |
3 | 159, 139, 70, 913, 939 |
53, 139, 70, 913, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 139 x 70 x 913 x 313 = 884209293660
Therefore, the lowest common multiple of 318,139,140,913,939 is 884209293660.
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.
318 x 139 x 140 x 913 x 939 = 5305255761960
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
139 : 1, 139
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
913 : 1, 11, 83, 913
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,139,140,913,939, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
139:139
140:2x 2x 5x 7
913:11x 83
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 3 = 6
Therefore, the value for common factors is 6.
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 = 5305255761960/(1x6)
LCM = 5305255761960/6
LCM = 884209293660
Thus, we can understand that the LCM of 318,139,140,913,939 is 884209293660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 139, 140, 913, 939?
Answer: LCM of 318, 139, 140, 913, 939 is 884209293660.
2. How to calculate the LCM of 318, 139, 140, 913, 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 318, 139, 140, 913, 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}.