Find the LCM of 973, 128, 139, 844 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 973, 128, 139, 844. So, keep reading to learn more.
Given numbers are 973,128,139,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,128,139,844 is 26278784.
Find LCM of 973,128,139,844 with Prime Factorization
2 | 973, 128, 139, 844 |
2 | 973, 64, 139, 422 |
139 | 973, 32, 139, 211 |
7, 32, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 7 x 32 x 1 x 211 = 26278784
Therefore, the lowest common multiple of 973,128,139,844 is 26278784.
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.
973 x 128 x 139 x 844 = 14611003904
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.
973 : 1, 7, 139, 973
128 : 1, 2, 4, 8, 16, 32, 64, 128
139 : 1, 139
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,128,139,844, is 1.
Now, the common factors can be found like this.
973:7x 139
128:2x 2x 2x 2x 2x 2x 2
139:139
844:2x 2x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 139 = 556
Therefore, the value for common factors is 556.
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 = 14611003904/(1x556)
LCM = 14611003904/556
LCM = 26278784
Thus, we can understand that the LCM of 973,128,139,844 is 26278784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 128, 139, 844?
Answer: LCM of 973, 128, 139, 844 is 26278784.
2. How to calculate the LCM of 973, 128, 139, 844?
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 973, 128, 139, 844.
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}.